Transformation Quick Check

Describe the transformation of the equation below from the absolute value parent function
 $y=-2\left|x-3\right|+3$  

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

Write the equation for a graph that is vertically compressed by a factor of $\frac{2}{5}$   and shifted right 6.

•  $y=6\left|x\right|-\frac{2}{5}$  

•  $y=\frac{2}{5}\left|x\right|+\ 6$ 

•  $y=\frac{2}{5}\left|x+6\right|$  

•  $y=\frac{2}{5}\left|x-6\right|$ 

 Describe the transformations from the parent graph to  $f\left(x\right)=-3\left|x+5\right|-7$ 

• Down 7, Left 5, Stretch by 3, Flip

• Up 7, Right 5, Stretch by 3, Flip

• Down 7, Left 5, Compress by 3, Flip

• Up 7, Right 5, Compress by 3, Flip

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

Let $f\left(x\right)=\sqrt{x}$   and  $g\left(x\right)=-3\sqrt{x-2}+1$  . Describe g(x) in terms of f(x):

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

Tags

CCSS.HSF.BF.B.3

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q.

Which function best represents the graph of q?

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Describe the transformation that is applied to the parent function. 
f(x) =  (1/2) Ix-1I -1

• Compresses by (1/2), Shifts left 1, down 1
• Compresses by (1/2), Shifts right 1, down 1
• Compresses by (1/2), Shifts left 1, up 1
• Compresses by (1/2), Shifts right 1, up 1

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = 2x²
• B.  g(x) = 1/2x²
• C.  g(x) = x² + 2
• D.  g(x) = (x + 2)²

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

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

Tags

CCSS.HSF.BF.B.3