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Mrs. Smith's Class
UNIT 3 – Quadratic Functions
The answer key for the textbook questions can be accessed here: Textbook Answers
Thurs. October 23 Lesson: Unit #3 Quadratics Test TODAY
Wed. October 22 Lesson: Review for Unit #3 Test TOMORROW Review Questions : Pg. 154 #1-4, 11-15, 17, 19-21, 23-27 Pg. 158 #1, 3-8, 11, 12 Pg. 693 #23 b, g
Test Outline:
- Operations with radicals (multiplying, dividing, subtracting, adding, and simplifying).
- Determining the minimum/maximum value (ie. the vertex) using partial factoring and completing the square. This includes word problems.
- Solving quadratic equations using factoring, completing the square, and the quadratic formula. This includes word problems.
- Finding the value of the discriminate. For example: Find the value of k if equation _____________ has two real roots.
- Determining the equation of the quadratic function.
- Solving the system of equations.
Tues. October 21 Lesson: Intersection of Linear and Quadratic Equations (Lesson Notes) Homework: Intersection of Linear and Quadratic Functions WORKSHEET Review Questions for Unit Test #3 this Thursday: Pg. 154 #1-4, 11-15, 17, 19-21, 23-27 Pg. 158 #1, 3-8, 11, 12 Pg. 693 #23 b, g
Mon. October 20 Lesson: Determining the Equation (Lesson Notes) Homework: Determining the Equations of Quadratic Functions (Worksheet)
Fri. October 17 Lesson: Quadratics Word Problems (Lesson Notes) Homework: Pg. 130 #15-21, 24
Thurs. October 16 Lesson: Solving Quadratic Equations Using Quadratic Formula (Lesson Notes) Homework: Questions #1,2 from slide Homework Questions #1-2 and SOLUTIONS ; Pg. 129 Every Other #11, 12, 13 a-d
Wed. October 15 Lesson: Solving Quadratic Equations by Completing the Square (Lesson Notes) Homework: Pg. 129 #3, 4, 5 (see note below regarding question #4) IMPORTANT: For homework question #4, some of your answers may vary from the back of the book. Please convert your final answer into decimal form and the textbook answers in decimal form to verify you have achieved the correct answer. I will show you tomorrow as to why your answers may be different.
Tues. October 14 Lesson: Equations by Factoring (Lesson Notes) Homework: Pg. 129 #7-10
Fri. October 10 Lesson: Formative Assessment Take-Up, Unit #2 Exponential Functions Test Take-Up Homework: Enjoy the long weekend!
Thurs. October 9 Lesson: Applications Continued (Lesson Notes) Homework: Pg. 117 #11-19a,b
Wed. October 8 Lesson: Applications of Completing the Square (Lesson Notes) Homework: Pg. 116 #4-10
Tues. October 7 Lesson: Partial Factoring (Lesson Notes) Homework: Pg. 116 #2 (every other) – find the vertex of the parabolas using partial factoring. Find #2f by factoring and sketch the parabola.
Mon. October 6 Lesson: Completing the Square (Lesson Notes) Homework: Pg. 116 #2, 3, Pg. 139 #3, 4, 5a, c, g, j, l Reminder: Unit 2 Test on Friday. Look under Tests and Assignments for review questions.
Quadratic Equation Worksheets (pdfs)
Free worksheets with answer keys.
Enjoy these free sheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
- Solve Quadratic Equations by Factoring
- Solve Quadratic Equations by Completing the Square
- Quadratic Formula Worksheet (real solutions)
- Quadratic Formula Worksheet (complex solutions)
- Quadratic Formula Worksheet (both real and complex solutions)
- Discriminant Worksheet
- Sum and Product of Roots
- Radical Equations Worksheet
Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!
Popular pages @ mathwarehouse.com.
Tom Buchanan, the wealthy and arrogant protagonist of F. Scott Fitzgerald's The Great Gatsby , is a character who often struggles with moral dilemmas. His decision-making process is characterized by a combination of self-interest, a lack of empathy, and a flawed sense of morality. Tom's choices are often driven by a desire to maintain his social status and control over others, even if it means hurting those around him.
One example of Tom's flawed decision-making is his affair with Myrtle Wilson. Despite being married to Daisy, Tom engages in a passionate affair with Myrtle, a woman from a lower social class. Tom's decision to pursue this affair is driven by his desire for excitement and his need to assert his dominance. He is willing to betray Daisy and hurt Myrtle's husband, George, without any regard for the consequences of his actions. Tom's decision to continue the affair, even after Myrtle's death, demonstrates his lack of remorse and his inability to take responsibility for his actions.
Another example of Tom's flawed decision-making is his treatment of Gatsby. Tom is aware of Gatsby's love for Daisy and his desire to win her back. However, instead of confronting Gatsby directly, Tom chooses to manipulate the situation to his advantage. He uses his wealth and influence to undermine Gatsby's efforts and ultimately leads to Gatsby's downfall. Tom's decision to expose Gatsby's past and his involvement in illegal activities is driven by his jealousy and his desire to protect his own position in society.
Tom's decision-making process is further complicated by his belief in the power of money and his sense of entitlement. He believes that his wealth gives him the right to act with impunity and that he is above the law. This belief leads him to make reckless and selfish decisions, without considering the impact on others.
In conclusion, Tom Buchanan's decision-making process is characterized by a combination of self-interest, a lack of empathy, and a flawed sense of morality. His choices are often driven by a desire to maintain his social status and control over others, even if it means hurting those around him. Tom's inability to take responsibility for his actions and his belief in the power of money ultimately lead to his downfall and the destruction of those around him.
Unit 4: Quadratic Functions and Equations, Lesson 3: Solving Quadratic Equations
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An equation of the form ax² + bx + c = 0, where a ≠ 0. Choose matching term 1 Root of an Equation 2 Quadratic Equation 3 Zero of a Function 4 Standard Form of a Quadratic Equation Don't know?
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Unit 3 - Quadratic Functions and Their Algebra. At 17 lessons, this is the longest unit of the e-text. Quadratic functions and their algebra are explored through a variety of topics. Students use graphing calculator technology to explore the turning points, intercepts, and geometric transformations of parabolas.
A function must be defined in terms of the variable it uses. Example: g(x) = 2x - 3x² NON-Example: f(t) = x² - 12x + 1 *if the variable in the function is x, then the function must be written as a function of x, not t.
Homework 3: Vertex Form of a Quadratic Equation. Graph each equation and give the axis of symmetry, vertex, domain, and range. Then, identify the transformations of the equation from the parent function. 1. yx 2. 3. Axis of Symmetry: Vertex: ... 11. translated 1 unit right and 5 units down 12. vertically stretched by a factor of 3, then
Unit 3: Quadratics: Graphing and Systems. By the end of the unit students will be able to: ... Homework 3-2. 3. Wednesday. Feb. 21st . Quiz. Graphing Quadratics. Homework 3-3. 4. Thursday. Feb. 22nd ... UNIT 3: QUADRATIC EQUATIONS AND FUNCTIONS Last modified by: abryant Company:
Learn how quadratic functions and equations can model real-world scenarios, such as projectile motion, and how to graph and solve them using various methods.
Quadratic Equations Unit Test Review. 15 terms. SmallFry1986. Preview. Group members/roles/meanings. 30 terms. quizlette538216750. Preview. Algebra 2 unit 2. 11 terms. federiciluke. ... Honors Precalc Module 3 - inverse and exponential functions, logarithms, growth/decay. 37 terms. naomi_mohn. Preview. Advanced Algebra 1. 15 terms. KyanTirschs ...
common factor the ax 2 bx terms to determine 2 symmetrically opposite x values (ie: same y value), then averaging them to find axis of symmetry gives x coordinate of vertex. 2 y 2 ( x 1 ) 5. Ex. For each of the following quadratic functions, state the vertex and whether it is a maximum or minimum. MCR3U Lesson 3.2.
Unit: Quadratic Functions Homework 1 ATTRIBUTES OF QUADRATIC FUNCTIONS I I. The vertex is at (-2, 8). II. The minimum of the function is -2. III. The y-intercept is at (0, 4). Reggie's function has a vertex at (-1, -2) x y x y x y x y. Identify the key features of g(x) shown on the graph. For #7,
Wed. October 15 Lesson: Solving Quadratic Equations by Completing the Square (Lesson Notes) Homework: Pg. 129 #3, 4, 5 (see note below regarding question #4) IMPORTANT: For homework question #4, some of your answers may vary from the back of the book. Please convert your final answer into decimal form and the textbook answers in decimal form to verify you have achieved the correct answer.
Unit 3: Quadratic Functions. Unit 3 Day by Day Schedule - Subject to Change** DUE ON MONDAY FOR HOMEWORK GRADE - DAY OF THE TEST Unit 3 M.V.P. Book Domain and Range Notes Packet Unit 3 Test Review (Completed) ... Homework: Page 2 in Function Notes Packet (Questions #7-12) Homework KEY; Day Six: Wednesday, March 11th.
All Lesson/Homework files, Spanish translations of those files, and videos are available for free. ... Unit 3 - Functions; Unit 4 - Linear Functions; Unit 5 - Linear Systems; Unit 6 - Exponential Algebra and Functions; Unit 7 - Polynomials; Unit 8 - Quadratic Functions; Unit 9 - Roots and Irrational Numbers; Unit 10 - Functions and Their ...
the product you obtain when you square a binomial. Quadratic Equation. an equation of the form ax² + bx + c = 0, where a ≠ 0. Root. x-intercept/solution of a quadratic. Solutions. x-intercepts/roots of a quadratic equation. Axis of Symmetry. A line that divides a plane figure or a graph into two congruent reflected halves.
11. If the graph of the function y = x2 is vertically compressed by a factor of 1/4, then translated seven units right and one unit down, write an equation to represent the function. Graph each function, identify the zeros, then write the equation in factored form, if possible. = x 2 + 8x +15 12. Zeros: Factored Form: Y = -2x2 + 8x-8 13. x=ï23 ...
Enjoy these free sheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key. Solve Quadratic Equations by Factoring. Solve Quadratic Equations by Completing the Square. Quadratic Formula Worksheets.
Unit 8 - Quadratic Functions and Their Algebra. These lessons introduce quadratic polynomials from a basic perspective. We then build on the notion of shifting basic parabolas into their vertex form. Completing the square is used as a fundamental tool in finding the turning point of a parabola. Finally, the zero product law is introduced as a ...
Example 11.6.2. Find the vertex and the extreme value of the function q(n) = −3n2 − 5n + 3. Solution. Notice a = −3, which means a <0. Hence, q(n) is an downwards parabola and, from the definition, we expect q(n) to have a maximum value. Let's use the formula to find the vertex, where a = −3 and b = −5.
We will also introduce some important terminology. Exercise #3: Consider the quadratic function y x. 2. 2 x 8 . (a) Using your calculator to help generate a table, graph this parabola on the grid given. Show a table of values that you use to create the plot. y. (b) State the range of this function. x.
A quadratic function is a function of degree two. The graph of a quadratic function is a parabola. The general form of a quadratic function is f(x) = ax2 + bx + c where a, b, and c are real numbers and a ≠ 0. The standard form or vertex form of a quadratic function is f(x) = a(x − h)2 + k.
Based on the quadratic function shown in the table below, which of the following is the range of this function? (2) (4) y £11 For Problems 3 — 5, use tables on your calculator to help you investigate these functions. 3. Which of the fòllowing quadratics will have a maximum value at x = 3 ? —6x+ 19 2 21. (3 y = —2x2 + 20x—49 = -3X+7 (4) 4.
Unit 8: Quadratic Equations Homework 3: Vertex Form of a Quadratic Equation ument! ** vertex, domain, and ran g om the n. 80% (9 rated) Bell: Unit 8: Quadratic Equations 1. y=-x2-3 Homework 3: Vertex Form of a Quadratic ** This is a 2-page document! ** Equation ph each equation and give the axis of symmertex, do Then, identify the ...
quadratic standard form. y = ax^2+bx+c. 1st step in converting quadratic standard form to quadratic vertex form: group (ax^2 + bx) 2nd step in converting quadratic standard form to quadratic vertex form: check a; if a != 1, factor outside so it becomes a (x^2 + bx) 3rd step in converting quadratic standard form to quadratic vertex form:
Definitions: Forms of Quadratic Functions. A quadratic function is a function of degree two. The graph of a quadratic function is a parabola. The general form of a quadratic function is f(x) = ax2 + bx + c f (x) = a x 2 + b x + c where a a, b b, and c c are real numbers and a≠0 a ≠ 0. The standard form of a quadratic function is f(x) = a(x ...
Psychology Unit 1 (Famous Psychologists) 22 terms. J4cob_Robertson. Preview. History. 11 terms. bacari8. Preview. ... where a ≠ 0. Root of an Equation. The solutions of a quadratic equation and the x-intercepts of the graph of the related quadratic function. Standard Form of a Quadratic Equation. Ax^2 + bx + c. Where a cannot =0. Zero of a ...