Model Quadratics

A baseball coach records the height at every second of a ball thrown in the air. Some of the data appears in the table. Which equation is a quadratic model for the data?

Q32

• y = 0.001x² - 0.426x + 35.672

• y = -0.60x² + 348.1x - 334.2

• y = 0.001x² + 35.672

• y = -0.60x² - 334.2

Which of the following functions graphs the parabola shown?

• y = x² - 4x + 1

• y = -2x² - 8x - 3

• y = x² - 4x + 5

• y = 2x² + 6x + 1

What is the axis of symmetry?

• the slope of the graph

• the dividing line for a parabola

• a way to spin my pencil

• the x-axis

Find the axis of symmetry for f(x) = x² + 4x - 5 

• x = 2

• x = -2

• x = 4

• x = -4

A half-pipe at a skate park is approxiamtely parabolic in shape.  It can be modeled by the quadratic function y = x² - 6x + 9.  At what point would a skater be at the lowest part of the ramp? 

• (-3, 36)

• (36, -3)

• (3, 0)

• (0, 3)

• 100 feet

• 64 feet

• 140 feet

• 88 feet

What is the maximum height the ball reaches?

• vertex

• x-intercept

• y-intercept

• point on the graph

The profit from selling local ballet tickets depends on the ticket price.  Using past receipts, we find that the profit can be modeled by the function p= -15x² +600x +60 , where x is the price of each ticket.  What is the maximum profit you can make from selling tickets?

• $6060

• $20

• $600

• $10,250