M3 Chapter 4

Multiple Choice

1. Describe how the graph $$g\left(x\right)=x^2+5$$ is related to the graph of $$f\left(x\right)=x^2$$ .

• The graph is reflected across the x-axis and translated down 5 units.

• The graph is reflected across the y-axis and translated up 5 units.

• The graph is translated up 5 units.

• The graph is translated left 5 units.

Multiple Choice

1. Describe how the graph $$g\left(x\right)=-x^2+5$$ is related to the graph of $$f\left(x\right)=x^2$$ .

• The graph is reflected across the x-axis and translated up 5 units.

• The graph is reflected across the x-axis and translated down 5 units.

• The graph is reflected across the y-axis and translated up 5 units.

• The graph is reflected across the y-axis and translated down 5 units.

Multiple Choice

1. Describe how the graph $$g\left(x\right)=-\left(x-5\right)^2$$ is related to the graph of $$f\left(x\right)=x^2$$ .

• The graph is reflected across the x-axis and translated up 5 units.

• The graph is reflected across the x-axis and translated down 5 units.

• The graph is reflected across the x-axis and translated right 5 units.

• The graph is reflected across the x-axis and translated left 5 units.

Multiple Choice

1. Which equation has no real solutions?

• 1. $$x^2-5x+6$$

• $$x^2-5x-6$$

• $$x^2+5x+6$$

• $$x^2+3x+5$$

Multiple Select

Consider the following:

I. 0

II. 4

III. 8

IV. -4

Which are solutions of $$\left(x-4\right)^2-16=0$$ ?

• I and II

• I and III

• II and IV

• I and IV

Multiple Select

Consider the following:

I. -2

II. 2

III. -8

IV. 8

Which are solutions of $$x^2-10x+16=0$$ ?

• I and II

• I and III

• II and IV

• I and IV

Multiple Choice

Which solution is incorrect?