Algebra IB Name ______________________________

Graphing Quadratics Review Worksheet Date _________________ Hour ______

QUADRATIC FUNCTIONS

Fill in each blank using the word bank.vertex minimum axis of symmetry y-interceptparabola maximum zeros ax2 + bx + c

1. Standard form of a quadratic function is y = _________________________.

2. The shape of a quadratic equation is called a _________________________.

3. ____________________________________

4. ____________________________________

5. When the vertex is the highest point on the graph, we call that a ______________________.

6. When the vertex is the lowest point on the graph, we call that a _______________________.

7. We call the x-intercepts the ______________________.

8. The point (0, c) is the ___________________________.

Determine whether the quadratic functions have two zeros, one zero, or no zeros. If possible, list the zeros of the function.

9. Number of zeros: ______ 10. Number of zeros: ______ 11. Number of zeros: ______

Zero(s): ______________ Zero(s): ______________ Zero(s): ______________

12. Number of zeros: ______ 13. Number of zeros: ______ 14. Number of zeros: ______

Zero(s): ______________ Zero(s): ______________ Zero(s): ______________

15. Given the graph, identify the following.

Axis of symmetry: ______________

Vertex: ____________

How many zeros: ________ which are: _____________

Domain: _______________

Range: ________________

Graph the following quadratic functions. 16. y = x2 – 2x – 3

Axis of Symmetry: _________ (draw on the graph)

Vertex: _____________ (draw on the graph)

Min/Max: _____________(circle one) (list its value)

y–intercept: _________ (draw on the graph)

Zero(s): _____________________

Domain: ____________ Range: ________________

17. y = –x2 – 4x + 5

Axis of Symmetry: _________ (draw on the graph)

Vertex: _____________ (draw on the graph)

Min/Max: _____________(circle one) (list its value)

y–intercept: _________ (draw on the graph)

Zero(s): _____________________

Domain: ____________ Range: ________________

18. A bottlenose dolphin jumps out of the water. The path the dolphin travels can be modeled by h = –0.2d2 + 2d, where h represents the height of the dolphin and d represents the horizontal distance.

a. What is the maximum height the dolphin reaches?

b. How far did the dolphin jump?

19. The height of a ball in meters is modeled by f(x) = –5x2 + 40x, where x is the time in seconds after it is hit.

a. What is the maximum height of the ball?

b. How long is the ball in the air?