Chapter 5 Quadratic Functions Review Question 1 a

Chapter 5 Quadratic Functions Review

Question 1 a Identify the vertex, the axis of symmetry, create a table, then graph. y = x² - 8 x + 5

Question 1 b Identify the vertex, the axis of symmetry, create a table, then graph. y = -2(x-3)² + 5

Question 1 c Write the standard form of the quadratic function: y = -2(x-3)² + 5

Question 1 d Graph the quadratic inequality: y > x² - 2

Question 2 a Solve by factoring: x 2 – 6 x =0

Question 2 b Solve by factoring: x 2 – 64 =0

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

Question 2 d What is the discriminant and how is it used to help solve a quadratic equation? Be VERY specific.

Question 3 a Solve using any method: 5(x-2)2+10 = 35

Question 3 b Solve using any method: 3 x 2 + 10 = 2 x 2 - 14

Question 3 c Solve by completing the square: x 2 + 10 x – 14 = 0

Question 3 d Write in vertex form: y = x 2 + 12 x – 8

Question 4 a Which quadratic function in vertex form has a graph with vertex (-3, 5) and passes through the point (-2, 7)?

Question 4 b Find the solution(s) for the systems of equations. y = x 2 + 12 x – 8 y = -2 x - 8

Question 4 c A 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 4 d What is the maximum height of the diver?

Question 4 e 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 4 f If the water is 2 feet below the bottom of the springboard, then will the diver hit the water?