Algebra 2 STD 9.0, 10.0 Practice

Algebra 2 STD 9.0, 10.0 Practice

1. For the graph of y = -2 (x – 3)2 + 1

A. maximum is 3

B. minimum is 3

C. maximum is 1

D. minimum is 1

2. Identify the vertex of the parabola

y = -3 ( x + 8) 2 - 5

A. ( -5, 8)B. ( -5, -8)

C. (8, -5)D. ( -8, -5)

3. What are the roots of the quadratic equation

x2 + 12x + 20 = 0

A. 2 and 10B. -2 and 10

C. 2 and -10D. -2 and -10

4. What is the vertex of the quadratic equation

y = 3x2 – 6x + 11

A. (-1, -8) B. (1, -8)

C. (1, 8)D. (-1, 8)

5. How will the graph of y = x2 + 4 change if 4 is replaced with 2?

A. The graph will be a vertical stretch.

B. The graph will be a vertical shrink.

C. The graph will be translated 2 units up.

D. The graph will be translated 2 units down.

6. How will the graph of y = 2x2 change if the coefficient of x2 becomes (1/2)?

A. The graph will be a vertical stretch.

B. The graph will be a vertical shrink.

C. The graph will be reflected over y-axis.

D. The graph will be reflected over x-axis.

7. Translation from the graph of

y = (x + 3)2 – 2 to y = (x - 2) 2 + 2 is

A. up 4 and right 5

B. down 2 and right 2

C. down 2 and 3 left

D. up 4 and left 2

8. What are the x-intercepts of the graph of

y = 2x2 + 7x + 3

A. 3 and -0.5B. -3 and -0.5

C. -3 and 0.5D. 3 and 0.5

9. What’s true about the graphs of

y = 3(x – 5) 2 + 1 and y = 3(x + 5) 2 + 1

A. Their vertices are maximum

B. Same shape with different vertices.

C. Different shapes with different vertices.

D. Vertex is the minimum for one and maximum for the other.

10. The quadratic function y = 2x2 – 12x + 23 has

A. minimum value of 5 at x = -3

B. minimum value of 5 at x = 3

C. maximum value of 5 at x =3

D. maximum value of 5 at x = -3

11. The quadratic function y = -x2 + 6x + 4 has

A. minimum value of 13 at x = -3

B. maximum value of 13 at x = -3

C. minimum value of 13 at x = 3

D. maximum value of 13 at x = 3

12. The maximum for the quadratic function

y = - 4x2 – 16x + 3 is

A. -2 B. 29C. 19D. 2

13. The graph of y = -2x2 is the graph of y =x2

A. reflected over x-axis but same shape

B. reflected over x-axis and narrower

C. moved 2 down

D. moved 2 left