Chapter 5Quadratic

Functions Review

Question 1a

Identify the vertex, the axis of symmetry, create a table, then graph.

y = x² - 8x + 5

Question 1b

Identify the vertex, the axis of symmetry, create a table, then graph.

y = -2(x-3)² + 5

Question 1c

Write the standard form of the quadratic function:

y = -2(x-3)² + 5

Question 1d

Graph the quadratic inequality:

y > x² - 2

Question 2a

Solve by factoring: x2 – 6x =0

Question 2b

Solve by factoring: x2 – 64 =0

Question 2c

Solve using the quadratic formula: 2x2 + 12x - 10 = 0

Question 2d

What is the discriminant and how is it used to help solve a quadratic equation? Be VERY specific.

Question 3a

Solve using any method: 5(x-2)2+10 = 35

Question 3b

Solve using any method: 3x2 + 10 = 2x2 - 14

Question 3c

Solve by completing the square: x2 + 10x – 14 = 0

Question 3d

Write in vertex form: y = x2 + 12x – 8

Question 4a

Which quadratic function in vertex form has a graph with vertex (-3, 5)

and passes through the point (-2, 7)?

Question 4bFind the solution(s) for the systems of

equations.

y = x2 + 12x – 8

y = -2x - 8

Question 4cA spring board diver is performing a very difficult dive. The spring board

is 10 feet off of the ground. The diver jumps with an initial velocity of 15

feet per second. What is the equation to represent this situation?

Question 4d

What is the maximum height of the diver?

Question 4e

Write and solve an equation that will tell you at what time the diver will be at least 2 feet off of the springboard?

Question 4f

If the water is 2 feet below the bottom of the springboard, then when will the

diver hit the water?