Transformations Algebra

Identify the transformation from the graph of f(x)=x² to the graph g(x)= (x+5)² 

• shifted up five units

• shifted down five units

• shifted left 5 units

• shifted right 5 units

Describe the transformation of y = f(x) for the new function y = 1/5f(x)

• The graph of y = f(x) shrunk horizontally by a factor of 1/5

• The graph of y = f(x) was stretched horizontally by a factor of 5

• The graph of y = f(x) was shrunk vertically by a factor of 1/5

• The graph of y = f(x) was stretched vertically by a factor of 5

Write a function g whose graph represents the indicated transformation of the graph of f.

f\left(x\right)=-3\left|x-4\right|, vertical shrink by a factor of\frac{1}{2}

Choose the correct translated function.

• f(x)= |x|+2

• f(x)= |x|-2

• f(x)= -|x|

• f(x)= -|x|+2

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up

• Shift down

Does the following get wider  or skinnier from the parent function y = |x|?
y = 5|x| 

• Wider

• Skinnier

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift down 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift up 2

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical compression by a factor of 3
• horizontal shift to the left 2 and vertical compression by a factor of 3