Practice Test
Chapter
Chapter 5
Section
Practice Test
Solutions 7 Videos

a) The graph on the bottom resulted from transforming the green graph of y = x^2. Determine the equation of the black graph. Explain your reasoning.

b) State the transformations that were applied to the graph of y =x^2 to result in the bottom graph.

Q1

Determine the equation of each quadratic relation in vertex form.

a) vertex at (7, 5), Opens downward, vertical stretch of 4

b) zeros at 1 and 5, minimum value of - 12, passes through (6, 15)

Q2

Sketch each quadratic relation by applying the correct sequence of transformations to the graph of y = x^2.

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

Q3a

Sketch each quadratic relation by applying the correct sequence of transformations to the graph of y = x^2.

y = 0.5(x + 2)^2 -5

Q3b

The parabola y = x^2 is compressed vertically and translated down and right. The point (4, -10) is on the new graph. What is a possible equation for the new graph?

Accountants for the HiTech Shoe Company have determined that the quadratic relation P = -2x^2 + 24x - 54 models the company’s profit for the next quarter. In this relation, P represents the profit (in \$100 0005) and x represents the number of pairs of shoes sold (in 100 0005).