Functions (linear)

Describe the transformations that were applied to the parent function: f(x)=3|x+8|

• Shift Up 3 and Left 8

• Vertical Stretch by 3 and Shift Right 8

• Vertical Stretch by 3 and Shift Left 8

• Shift Right 3 and Up 8

Which family does this graph belong to?

• Quadratic

• Absolute Value

• Square Root

• Cubic

• Translated up 2 units

• Translated down 2 units

• Translated left 2 units

• Translated right 2 units

How would you describe the transformation from the parent function to g(x)?

• vertical stretch by a factor of 2

• horizontal stretch by a factor of 2

• vertical translation 4 units down

• horizontal translation 5 units left

Are the two expression  $\left|x-5\right|$  and  $\left|x\right|-5$  equivalent? (Hint: graph both on desmos.com and see if they match)

• Yes! 

• No!

Tags

2a.6c

Which of the following shows a transformation:   Stretched by 5?

•  $y=\left|x-5\right|$  

•  $y=5\left|x\right|$  

•  $y=\left|x\right|-5$  

•  $y=\frac{1}{5}\left|x\right|$  

If the original absolute value function is y = |x|, what is the equation of the dilated function with a scale factor of 1/2?

• y = (1/2)|x|

• y = (1/4)|x|

• y = (2/3)|x|

• y = (3/4)|x|

What does "h" do to an equation?

• Shifts it left / right

• Flips it upside down

• Moves it up / down

• Narrows the graph

What are the values of A, H and K in the equation below?

f(x) = 4|x +2| - 3

• A= 4

  H= 2

  K= - 3

• A= 4

  H= - 2

  K= - 3

• A= - 3

  H= 4

  K= 2