Focused Practice - Transformations

The graph  $f\left(x\right)=x^2$  was transformed to create the graph of  $g\left(x\right)=-\frac{1}{3}x^2$  Which of the following describes this transformation?

• Reflected over y-axis and narrower by a factor of  $\frac{1}{3}$  

• Reflected over x-axis and wider by a factor of  $\frac{1}{3}$  

• Reflected over y-axis and wider by a factor of  $\frac{1}{3}$  

• Reflected over x-axis and narrower by a factor of  $\frac{1}{3}$  

The quadratic parent function is translated 8 unit to the right and 3 units down. Which of the following equations can be used to model this transformation?

• $y=\left(x-3\right)^2-8$

• $y=\left(x+3\right)^2-8$

• $y=\left(x-8\right)^2-3$

• $y=\left(x+8\right)^2-3$

A student graphed  $f\left(x\right)=x^2\ \ \ and\ \ \ g\left(x\right)=x^2+3\$ on the same coordinate grid. Which statement describes how the graphs of f and g are related? 

• The graph of f is shifted 3 units up to create the graph of g

• The graph of f is shifted 3 units down to create the graph of g

• The graph of f is vertically stretched to create the graph of g

• The graph of f is horizontally stretched to create the graph of g

Match the equation to its description.

• Reflected over x and up 4

• Reflected over x and down 4

• Reflected over x and right 4 

• Reflected over x and left 4

Match the description to its equation.
Moves up 2
Moves left 4

• A

• B

• C

• D