Pretest

Question 1

Given the quadratic function f⁡(x)=2⁢x^2−8⁢x+6 , find the vertex and use x=0 to calculate another point on the graph.

Revolt · Accepted Answer

vertex: open paren 2 comma negative 2 close paren; point: open paren 0 comma 6 close paren

Question 2

Given the quadratic function f⁡(x)=2⁢(x+1)⁢(x−3) , what are the x -intercepts of the function?

Revolt · Accepted Answer

negative 1 and 3

Question 3

Given the quadratic function f⁡(x)=−4⁢(x+3)^2+7 , what is the range of the function?

Revolt · Accepted Answer

y≤7

Question 4

Consider the quadratic functions C⁡(x)=3⁢x^2−12⁢x+7 and R⁡(x)=−2⁢x^2+8⁢x−3 Which statement correctly identifies the nature of each function based on the direction of their parabolas?

Revolt · Accepted Answer

C⁡(x) represents a cost function because it opens upward, and R⁡(x) represents a profit function because it opens downward.

Question 5

Given the quadratic function f⁡(x)=3⁢(x−1)⁢(x−5) , what are the zeroes of the function?

Revolt · Accepted Answer

1 and 5

Question 6

What is the domain of any quadratic function?

Revolt · Accepted Answer

all real numbers

Question 7

Click on the coordinated grid to select the point representing the vertex first, then click on the coordinate grid to select one x -intercepts of the function f⁡(x)=x^2−4⁢x−5

Revolt · Accepted Answer

parabola; 2; -9; 5; 0

Question 8

Using the function f⁡(x)=2⁢x^2−8⁢x+6 , if one point on the graph is (0,6) and the line of symmetry is at x=2 , what is the point symmetric to (0,6) relative to the axis of symmetry?

Revolt · Accepted Answer

(4,6)

Question 9

Given the quadratic function f⁡(x)=−2⁢(x−4)^2+5 , what is the range of the function?

Revolt · Accepted Answer

y≤5

Question 10

Given the quadratic function f⁡(x)=2⁢x^2−8⁢x+6 , what is the vertex of the function?

Revolt · Accepted Answer

(2, −2)

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