Name: ________________________________Group: ____Period: ______________ Date: ____________In class assignment Chapter 8

_____/271.Tell whether this function is quadratic. Explain.

_______ ______________________

________

2. Identify the vertex of this parabola. Then give the minimum or maximum value of the function.

vertex: _

Min/Max:

3.Use a table of values to graph y = x 2 4.

x 2 1 0 1 2

y

4. Find the zeros of y = x 2 x 6 from its graph below.

Zeros: _

x 2 0 2 4

y 5 1 3 1

5. Find the axis of symmetry of the graph of y = x 2 12x + 8.

6. If you graph y = 5x 2 + 7x 15, what would be the y-intercept?

__________________________________________

7. The height of a ball in meters is modeled by f(x) = 5x 2 + 50x, where x is the time in seconds after it is hit.

How long is the ball in the air?

__________________________________________

8. Compare the graph of g(x) = x 2 with the graph of f(x) = x

2.

_________________________________________ __________________________________________

_________________________________________ __________________________________________

9. Use this graph of the quadratic function y = x 2 + 4x 5 to solve the equation x

2 + 4x 5 = 0.

__________________________________________

10. Tell whether this function is quadratic. Explain.{(7, 256), (5, 16), (3, 0), (1, 16)}__________________________________________

11.Identify the vertex of this parabola. Then give the minimum or maximum value of the function.

vertex: ____________________________________________________________________________

12.Use a table of values to graph

y = 3x 2 8.

x 2 1 0 1 2

y

13. Find the zeros of y = x 2 + 4x + 5 from its graph below.

__________________________________________

14.Find the axis of symmetry and vertex of the graph of y = 2x 2 20x 40.

axis of symmetry: ________________________

vertex: __________________________________

15.If you graph 2y + 8 = 6x 2 10x, what will be the y-intercept?

__________________________________________

16. The height of a ball in meters is modeled by f(x) = 5x 2 + 36x, where x is the time in seconds after it is hit.

How long is the ball in the air?__________________________________________

17. Compare the graph of g(x) = x 2 + 3 with the graph of f(x) = x

2.____________________________________________________________________________________

18. Use this graph of the quadratic function y = x 2 + 2x to solve the equation x

2 + 2x = 0.

__________________________________________

19. What is the relationship between the equation and the graph for that equation?

Chapter Test Form B1. Yes, the second differences are constant.2. (3, 5); minimum is 5.3.

x 2 1 0 1 2

y 0 3 4 3 0

4. 2; 3 5. x 66. 157. 10 seconds

8. g(x) has the same axis of symmetry, has the same vertex, and also opens upward, but it is wider.

9. x 5 or x 1 10. x 2 or x 9

Chapter Test Form C1. No, the second differences are

not constant.2. (0, 4); maximum is 4.3.

x 2 1 0 1 2

y 4 5 8 5 4

4. no real zeros 5. x 5; (5, 10)6. 47. 7.2 seconds

8. g(x) has the same width and same axis of symmetry, but it opens downward and its vertex is translated 3 units up to (0, 3).

9. x 0 or x 2