Practice Test
Chapter
Chapter 5
Section
Practice Test
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Solutions 6 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.

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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)

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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

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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

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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?

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Q4

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).

a) Express the equation in factored form.

b) What are the zeros of the relation? What do they represent in this context?

c) Determine the number of pairs of shoes that the company must sell to maximize its profit. How much would the maximum profit be?

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Q5