Name: Date: Period: QUADRATIC FUNCTIONS UNIT 13 PLAN. Range: Parabola: Axis of Symmetry: Minimum:
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1 QUADRATIC FUNCTIONS UNIT 13 PLAN Important Dates: Quiz: Block Day, March 19-20, 2014 Test: Tuesday, March 25, 2014 I can define, identify, and use properly the following terms: Domain: Quadratic Function: Vertex: Maximum: Range: Parabola: Axis of Symmetry: Minimum: R oots zero s X -intercept S olutions Day 1 (Monday, March 17, 2014) TEKS CAN I? I can identify and graph the quadratic parent function I can identify the characteristics of the quadratic function from a graph, including axis of symmetry, vertex, y and x-intercepts and maximum or minimum A2A A9D, A10A Academic Practice: Homework #1 (Due Tuesday) ALGEBRA 1 UNIT 13 QUADRATIC FUNCTIONS: NOTES & PRACTICE PAGE 1
2 QUADRATIC FUNCTIONS UNIT 13 PLAN (CONT.) Day 2 (Tuesday, March 18, 2014) TEKS CAN I? I can predict the changes to a graph when I change the a part of y = ax 2 + c I can predict the changes to a graph when I change the c part of y = ax 2 + c I can predict the changes to a and c from a graph of a quadratic function Academic Practice: Homework #2 (Due Block Day) A9B A9C A9B, A9C Day 3 (Block Day, March 19-20, 2014) TEKS CAN I? I can identify the domain and range of a quadratic function I can identify the reasonable domain and range of a situation modeled as a quadratic function A9A A9A Academic Practice: Homework #3 (Due Friday) Day 4 (Friday, March 21, 2014) Intro to Quadratics Test Review TEKS CAN I? I can identify the solutions/roots/zeroes of a quadratic function. I can find a value for x given the value for f(x) for a quadratic function on a graph or table. A10A, A10B A10A Academic Practice: Intro to Quadratics Test Review (All questions must be attempted by Monday!) Day 5 (Monday, March 24, 2014) Intro to Quadratics Test Review Grade CAN I? I can show mastery of the student expectations from Days 1-4 Day 6 (Tuesday, March 25, 2014) Intro to Quadratics Test Grade CAN I? I can show mastery of the student expectations from Days 1-5. ALGEBRA 1 UNIT 13 QUADRATIC FUNCTIONS: NOTES & PRACTICE PAGE 2
3 INTRODUCTION QUADRATIC FUNCTIONS Quadratic functions are equations containing a term. When plotted, a quadratic function describes a curve called a. The equation for the quadratic parent function is. A quadratic equation will have the form: y = ax 2 + bx + c. WHAT GOES UP, MUST COME DOWN THE FLIGHT OF PROJECTILES Quadratic functions are often used to simulate quantities that either increase to a maximum value and then fall away (such as the flight of a projectile subject to gravity) or decrease to a minimum value and then increase again. REMINDER! FUNCTION NOTATION f (x) is function notation for y = For functions, the two notations mean the exact same thing, but "f (x)" gives you more information. You used to say "y = 2x + 3; solve for y when x = 1". Now you say "f(x) = 2x + 3; find f( 1)" You do exactly the same thing in either case: you plug in 1 for x. WALK LIKE AN EGYPTIAN F(X) The graph of the function y = f(x) is below. Use the graph to fill in the missing numbers. 1. f (-10) = 4. f (2) = 2. f (-3) = 5. f (5) = 3. f (0) = 6. f (8) = ALGEBRA 1 UNIT 13 QUADRATIC FUNCTIONS: NOTES & PRACTICE PAGE 3
4 I can graph the linear and quadratic parent functions (A.2A) LINEAR PARENT FUNCTION f(x) = Domain: Range: x-intercept: y-intercept: x f(x) QUADRATIC PARENT FUNCTION f(x) = Domain: Range: x-intercept: y-intercept: x f(x) I can identify the linear and quadratic parent functions (A.2A) 1. The set of ordered pairs below represents some points on the graph of function f. {( 3, 9), ( 2, 4), ( 1, 1), (0, 0), (1, 1), (2, 4), (3, 9)} A y = 5x B y = x C y = 2x 2 D y = x 2 2. The set of ordered pairs below represents some points on the graph of function f. {( 3, 9) ( 2, 4), ( 1, 1), (0, 6), (2, 16), (4, 26)} A y = x 3 B y = x C y = 3x 2 D y = x 2 ALGEBRA 1 UNIT 13 QUADRATIC FUNCTIONS: NOTES & PRACTICE PAGE 4
5 3. The set of ordered pairs below represents some points on the graph of function f. {( 4, 4) ( 3, 3), ( 2, 2), ( 1, 1), (0, 0), (1, 1)} A y = x B y = 5x C y = 2x 2 D y = x 2 4. The set of ordered pairs below represents some points on the graph of function f. {( 4, 18), ( 2, 9), (0, 2), (2, 3), (4, 6), (6, 7)} A y = 4x B y = x C y = x 2 D y = x I can identify the characteristics of the quadratic function from a graph, including axis of symmetry. (A.9D) 5. Two points on the graph of a quadratic function are shown on the grid below 6. Two points on the graph of a quadratic function are shown on the grid below What is the equation of the axis of symmetry of the graph of the function? A x = 3 C x = 4 B x = 3 D x = 4 What is the equation of the axis of symmetry of the graph of the function? A x = 6 C x = 7 B x = 6 D x = 7 ALGEBRA 1 UNIT 13 QUADRATIC FUNCTIONS: NOTES & PRACTICE PAGE 5
6 I can identify the characteristics of the quadratic function from a graph, including the vertex. (A.9D) 7. What is the vertex of the quadratic function below? 8. What is the vertex of the quadratic function below? A (0, 5) C (1, 2) B ( 2, 9) D ( 5, 0) A (9, 0) C (0, 3) B (0, 9) D ( 3, 0) I can identify the maximum or minimum of a quadratic function from a graph. (A.9D) 9. Which of the following statements is true? 10. Which of the following statements is true? A The function has a maximum of (0, 0) B The function has a maximum of (5, 10) C The function has a minimum of (0, 0) D The function has a minimum of (5, 10) A The function has a maximum of ( 6, 10) B The function has a maximum of ( 3, 4) C The function has a minimum of ( 3, 0) D The function has a minimum of (0, 3) ALGEBRA 1 UNIT 13 QUADRATIC FUNCTIONS: NOTES & PRACTICE PAGE 6
7 I can identify the x-intercepts and y-intercepts of a quadratic function from a graph. (A.9D) 11. Which of the following statements is not true? 12. Which of the following statements is not true? A The roots are at ( 5, 0) and (1, 0) B The x-intercepts are at ( 5, 0) and (1, 0) C The y-intercepts are at ( 5, 0) and (1, 0) D The solutions are at ( 5, 0) and (1, 0) A B C D (0, 0) is a root of the function (0, 0) is an x-intercept of the function (0, 0) is a y-intercept of the function (0, 0) is a maximum of the function ALGEBRA 1 UNIT 13 QUADRATIC FUNCTIONS: NOTES & PRACTICE PAGE 7
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