Quiz about 3.6 - 3.8 Big Ideas Quiz

Question 1

What type of transformation is g(x) and by what factor?

Accepted Answer

Horizontal Shrink

Factor of 1/3

Answer

Horizontal Stretch

Factor of 3

Answer

Vertical Shrink

Factor of 1/3

Answer

Vertical Stretch

Factor of 3

Question 2

What type of transformation is h(x) and by what factor?

Accepted Answer

Vertical Shrink

Factor of 1/3

Answer

Horizontal Shrink

Factor of 1/3

Answer

Horizontal Stretch

Factor of 3

Answer

Vertical Stretch

Factor of 3

Question 3

Describe when the function is positive and negative.

Accepted Answer

Positive: $$x<2\ and\ x>2$$

Negative: No Interval

Answer

Positive:

$$x<0\ and\ x>0$$

Negative: No Interval

Answer

Positive: No Interval

Negative: $$x\le2\ and\ x\ge2$$

Answer

Positive: No Interval

Negative: $$x\le0\ and\ x\ge0$$

Question 4

Determine where the function is increasing or decreasing.

Accepted Answer

Increasing: $$x>-1$$

Decreasing: $$x<-1$$

Answer

Increasing: $$x>2$$

Decreasing: $$x<2$$

Answer

Increasing: $$x>-4$$

Decreasing: $$x<-4$$

Answer

Increasing: $$x>-2$$

Decreasing: $$x<-2$$

Question 5

Describe the transformation from the graph of f to the graph of h where $$h\left(x\right)=f\left(x\right)\ +\ 1$$ .

Accepted Answer

Vertical translation

1 unit down

Answer

Vertical translation

1 unit up

Answer

Horizontal translation

1 unit down

Answer

Horizontal translation

1 unit up

Question 6

Describe the transformation from f to h where

$$h\left(x\right)=\frac{3}{2}f\left(x\right)$$

and by what factor?

Accepted Answer

Vertical stretch

Factor: $$\frac{3}{2}$$

Answer

Horizontal stretch

Factor: $$\frac{3}{2}$$

Answer

Horizontal shrink

Factor: $$\frac{2}{3}$$

Answer

Vertical shrink

Factor: $$\frac{2}{3}$$

Question 7

What are the domain and range of g(x)?

Accepted Answer

Domain: All real numbers

Range: $$y\ge-2$$

Answer

Domain: $$y\le-2$$

Range: All real numbers

Answer

Domain: $$y\ge-2$$

Range: All real numbers

Answer

Domain: All real numbers

Range: $$y\le-2$$

Question 8

What is the end behavior?

Accepted Answer

$$y\rightarrow+\infty,\ x\rightarrow-\infty$$ $$y\rightarrow+\infty,\ x\rightarrow+\infty$$

Answer

$$y\rightarrow+\infty,\ x\rightarrow+\infty$$ $$y\rightarrow-\infty,\ x\rightarrow-\infty$$

Answer

$$y\rightarrow-\infty,\ x\rightarrow-\infty$$ $$y\rightarrow-\infty,\ x\rightarrow+\infty$$

Answer

$$y\rightarrow-\infty,\ x\rightarrow+\infty$$ $$y\rightarrow-\infty,\ x\rightarrow+\infty$$

Question 9

Describe the transformation.

$$f\left(x\right)=\frac{3}{5}x+9;\ g\left(x\right)=f\left(-x\right)$$

Accepted Answer

A reflection in the y-axis

Answer

A vertical translation 2 units down

Answer

A horizontal stretch by a factor of 2

Answer

A reflection in the x-axis

Question 10

Describe the transformation.

$$f\left(x\right)=x;\ g\left(x\right)\ =\ f\left(x\right)+6$$

Accepted Answer

A vertical translation 6 units up

Answer

A vertical translation 6 units down

Answer

A horizontal translation 6 units right

Answer

A horizontal translation 6 units left

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics