Quiz about Transformations Of Functions

Question 1

$$g$$ is a transformation of $$f$$. The graph below shows $$f$$ as a solid blue line and $$g$$ as a dotted red line.

![](http://admin.getprephub.com/media/editor/te25_20230116211233022711.png)

What is the formula of $$g$$ in terms of $$f$$ ?

Accepted Answer

Covalent bond

Answer

$$g(x)=2 f(x)$$

Answer

$$ g(x)=\frac{1}{2} f(x)$$

Answer

$$g(x)=f(\frac{1}{2} x)$$

Answer

$$g(x)=f(2 x)$$

Question 2

The graph of $$y=\sqrt{x}$$ is shown below.

![](http://admin.getprephub.com/media/editor/te29_20230116212812570280.png)

Which of the following is the graph of $$y=^3 \sqrt{2-x}$$ ?

Accepted Answer

Covalent bond

Answer

![](http://admin.getprephub.com/media/editor/te29s1_20230116212839457322.png)

Answer

![](http://admin.getprephub.com/media/editor/te29s2_20230116212851111270.png)

Answer

![](http://admin.getprephub.com/media/editor/te29s3_20230116212905043291.png)

Answer

![](http://admin.getprephub.com/media/editor/te29s4_20230116212920744101.png)

Question 3

Function $$g$$ is a horizontally scaled version of function $$f$$. The functions are graphed where $$f$$ is solid and $$g$$ is dashed. What is the equation of $$g$$ in terms of $$f$$ ?

![](http://admin.getprephub.com/media/editor/te21_20230116210826580039.png)

Accepted Answer

Covalent bond

Answer

$$g(x)=f(2 x)$$

Answer

$$g(x)=f(\frac{x}{2})$$

Answer

$$g(x)=-f(2 x)$$

Answer

$$g(x)=-f(\frac{x}{2})$$

Question 4

The graph of $$y=\sqrt{x}$$ is shown below.

![](http://admin.getprephub.com/media/editor/te27_20230116211903874965.png)

Which of the following is the graph of $$y=\sqrt{-x+4}$$ ?

Accepted Answer

Covalent bond

Answer

![](http://admin.getprephub.com/media/editor/te27s1_20230116212357972454.png)

Answer

![](http://admin.getprephub.com/media/editor/te27s2_20230116212344165515.png)

Answer

![](http://admin.getprephub.com/media/editor/te27s3_20230116212313394796.png)

Answer

![](http://admin.getprephub.com/media/editor/te27s4_20230116212412686053.png)

Question 5

Megan dilates $$	riangle {JKL}$$ about point $${J}$$ by a scale factor of $$\frac{3}{5}$$ to create $$	riangle {JNO}$$.

![](http://admin.getprephub.com/media/editor/Screenshot%202023-08-08%20at%204.48.29%20PM_20230808144841880540.png)

What is the length, in inches, of $$NO$$?

Accepted Answer

Covalent bond

Answer

$$6$$ inch

Answer

$$8$$ inch

Answer

$$3$$ inch

Answer

$$4$$ inch

Transformations Of Functions Algebra 2 Maths Problems and Solutions

Many students find Transformations Of Functions for Algebra 2 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Transformations Of Functions from for Algebra 2 preparation.