Question 1

Given the quadratic function $$f(x) = -3(x+4)^2$ + 9$$, what are the coordinates of its vertex?

Accepted Answer

$$(-4, 9)$$

Question 2

For the function $$f(x) = 4(x+1)^2$ - 3$$, what is the range of $$f(x)$$?

Accepted Answer

$$[-3, \infty)$$

Question 3

Which of the following describes the domain of the quadratic function $$f(x) = -3(x-8)^2$ + 3$$?

Accepted Answer

$$(-\infty, \infty)$$

Question 4

A parabola opens downward and has a vertex at $$(8, 3). $$What is the maximum value of the function?

Accepted Answer

$$3$$

Question 5

Given $$f(x) = -3(x-8)^2$ + 3$$, what is the $$y-$$intercept of the function?

Accepted Answer

$$(0, -9)$$

Question 6

For the function $$f(x) = 4(x+1)^2$ - 3$$, what is the axis of symmetry?

Accepted Answer

$$x = -1$$

Question 7

If a parabola has a vertex at $$(-4, 9)$$ and opens downward, which of the following best describes its range?

Accepted Answer

$$(-\infty, 9]$$

Question 8

Which of the following is the correct equation for a parabola with vertex $$(3, -3)$$ that opens upward and passes through $$(5, 1)$$?

Accepted Answer

Question 9

Given the function $$f(x) = -3(x-8)^2$ + 3$$, what is the direction in which the parabola opens?

Accepted Answer

Downward

Question 10

If the vertex of a parabola is at $$(1, -3)$$ and the parabola opens upward, what is the minimum value of the function?

Accepted Answer

$$-3$$

Question 11

A quadratic function $$f(x)$$ has no $$x-$$intercepts. Which of the following could be the vertex and direction of opening?

Accepted Answer

Vertex $$(0, 17)$$, opens upward

Question 12

For the function $$f(x) = 4(x+1)^2$ - 3$$, what is the $$y-$$intercept?

Accepted Answer

Question 13

Which of the following best describes the effect of the coefficient $$-3 in$$ $$f(x) = -3(x+4)^2$ + 9$$?

Accepted Answer

It makes the parabola open downward and narrower.

Question 14

If $$f(x) = a(x-h)^2$ + k$$ and $$a \u003c 0$$, what can you say about the vertex?

Accepted Answer

It is a maximum point.

Question 15

Given the function $$f(x) = -3(x-8)^2$ + 3$$, what is the axis of symmetry?

Accepted Answer

$$x = 8$$

Quadratic Functions and Parabolas: Graphs, Properties, and Applications

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