Question 1

Given the graph above, what is the vertex of the parabola?

Accepted Answer

$$(4, 36)$$

Question 2

Based on the graph, what are the x-intercepts of the parabola?

Accepted Answer

$$(2, 0)$$ and (8, 0)$

Question 3

What is the y-intercept of the parabola shown in the graph?

Accepted Answer

$$(0, -28)$$

Question 4

What is the axis of symmetry for the parabola in the graph?

Accepted Answer

$$x = 4$$

Question 5

Which of the following equations best represents the parabola in the graph?

Accepted Answer

$$f(x) = -4(x-4)^2$ + 36$$

Question 6

If the parabola represents the height (in meters) of a projectile over time, what is the maximum height reached?

Accepted Answer

$$36$$ meters

Question 7

Suppose the equation of the parabola is $$f(x) = -4(x-4)^2$ + 36. $$What is the value of $$f(0)$$?

Accepted Answer

$$-28$$

Question 8

If the parabola opens downward, which feature of the equation $$f(x) = -4(x-4)^2$ + 36$$ confirms this?

Accepted Answer

The coefficient of $$(x-4)^2 is $$negative

Question 9

If the graph represents profit over time, during which interval is the profit positive?

Accepted Answer

$$2 \u003c x \u003c 8$$

Question 10

What is the range of the function represented by the parabola in the graph?

Accepted Answer

$$(-\infty, 36]$$

Precalculus Review: Quadratic Functions and Their Graphs

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