Module 8.1 Quiz Review

Module 8.1 Quiz Review

By Bette Horsington

Multiple Choice

The rational parent function $$y=\frac{1}{x}$$  has been transformed. What is the equation of the new image?

• $$y=\frac{1}{\left(x+2\right)}+3$$  

• $$y=\frac{1}{\left(x-2\right)}+3$$  

• $$y=\frac{1}{\left(x+3\right)}+2$$  

• $$y=\frac{1}{\left(x-3\right)}+2$$  

Multiple Select

The pre-image in red has been transformed to the image in green. Select the equations for both images.

• $$y=\frac{1}{\left(x+2\right)}-1$$  

• $$y=\frac{1}{x+1}-2$$  

• $$y=\frac{1}{x-2}-1$$  

• $$y=-\frac{1}{x+2}-1$$  

Multiple Select

Using correct vocabulary, select the phrases describing how the following equation changed the parent function, $$f\left(x\right)=\frac{1}{x}$$  .

$$y=-\frac{2}{x-1}+2$$  

• horizontal translation of 1 unit right

• y-axis reflection

• x-axis reflection

• vertical translation 2 units up

• vertical stretch of 2

Multiple Select

Using correct vocabulary, select the phrases describing how the following equation changed the parent function, $$f\left(x\right)=\frac{1}{x}$$  .

$$y=\frac{1}{-x-1}$$  

• horizontal translation of 1 unit right

• y-axis reflection

• x-axis reflection

• horizontal translation of 1 unit left

• vertical translation of 1 unit down

​f(x) = a(x-h)ⁿ​+k

​even powers

(in this case n = 4)

vertex (-1,-2) {this is (h,k)}

a = 1 (upwards)

equation: y=(x+1)⁴​-2

​Some text here about the topic of discussion.

Writing equations of Polynomials

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Multiple Choice

The polynomial parent function $$y=x^4$$   has been transformed. What is the equation of the new image?

• $$y=\left(x-3\right)^4+1$$  

• $$y=\left(x+3\right)^4+1$$  

• $$y=-\left(x+3\right)^4+1$$  

• $$y=-\left(x-1\right)^4-3$$  

Multiple Select

The pre-image in red has been transformed to the image in green. Select the equations for both images.

• $$y=\left(x+3\right)^4-1$$  

• $$y=\left(x-3\right)^4-1$$  

• $$y=-\left(x+3\right)^4+1$$  

• $$y=-\left(x-3\right)^4+1$$  

​f(x) = a(x-h)ⁿ​+k

​odd powers

(in this case n=3)

center (4,2) {this is (h,k)}

a = 1 increasing

equation: y=(x-4)³​+2

​

Writing polynomial equations

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Multiple Select

The pre-image in red has been transformed to the image in green. Select the equations for both images.

• $$y=\left(x-2\right)^5-2$$  

• $$y=\left(x+2\right)^5-2$$  

• $$y=\left(x-2\right)^5+2$$  

• $$y=\left(x+2\right)^5+2$$  

Multiple Select

The pre-image in red has been transformed to the image in green. Select the equations for both images.

• $$y=\left(x-2\right)^3$$  

• $$y=-\left(x-2\right)^3$$  

• $$y=\left(x-2\right)^3+2$$  

• $$y=x^3+2$$  

Multiple Select

Using correct vocabulary, select the phrases describing how the following equation changed the parent function  $$y=x^5$$  .

$$f\left(x\right)=\left(-x+2\right)^5-2$$  

• y-axis reflection

• x-axis reflection

• horizontal translation 2 units right

• horizontal translation 2 units left

• vertical translation 2 unit down

Multiple Select

Using correct vocabulary, select the phrases describing how the following equation changed the parent function  $$y=x^6$$  .

$$y=-2x^6+1$$  

• x-axis reflection

• y-axis refelction

• vertical stretch of 2

• vertical compress of 2

• vertical translation 1 unit up

Poll

Reminder: Q8.1 due today

How are you feeling about the Quiz on Module 8.1?

• I am ready to go

• I need to revise some more

• I need to make an appointment to ask question

• I think I will do okay