Question 1

Which of the following is the vertex form of a quadratic function?

Accepted Answer

$$f(x) = a(x - h)^2$ + k$$

Question 2

Given the quadratic function $$f(x) = -2(x - 3)^2$ + 5$$, what is the vertex of the parabola?

Accepted Answer

$$(3, 5)$$

Question 3

For the quadratic function $$f(x) = 2x^2$ - 8x + 7$$, what is the x-coordinate of the vertex?

Accepted Answer

$$x = 2$$

Question 4

A company models its profit with the function $$P(x) = -5x^2$ + 100x - 150$$, where $$x is $$the number of units sold. What is the maximum profit, and at how many units sold does it occur?

Accepted Answer

Maximum profit is $$850 at$$ $$x = 10$$ units

Question 5

Which of the following statements is true about the graph of $$f(x) = a(x - h)^2$ + k if$$ $$a \u003c 0$$?

Accepted Answer

The parabola opens downward and has a maximum at $$(h, k)$$

Question 6

Given $$f(x) = 3x^2$ - 12x + 7$$, what is the minimum value of the function?

Accepted Answer

$$-5$$

Question 7

A rectangular garden is to be fenced on all four sides with 80 meters of fencing. What dimensions will maximize the area of the garden?

Accepted Answer

20 meters by 20 meters

Question 8