7A-4 Practice

The graph of

 $f\left(x\right)=x^2$  was transformed to create  $g\left(x\right)=-f\left(x+3\right).$  What transformation(s) occurred?

• reflection over the x-axis

• reflection over the y-axis

• translates left

• translates right

• translates up

The graph of $f\left(x\right)=x^2$ was transformed to create  $h\left(x\right)=\frac{3}{4}f\left(x\right)+5.$  What transformation(s) occurred?

• vertical compression

• vertical stretch

• translates up

• translates down

• translates right

The graph of $f\left(x\right)=x^2$ was transformed to create  $m\left(x\right)=f\left(-x-4\right)-2?$  Which transformation(s) occurred?

• reflection over the x-axis

• reflection over the y-axis

• translation left

• translation right

• translation down

The graph of $f\left(x\right)=x^2$ is transformed to create  $g\left(x\right)=-2f\left(x\right)+1.$  What transformation(s) occurred?

• vertical stretch

• vertical compression

• reflection over the x-axis

• translates up

• translates down

The graph of $f\left(x\right)=x^2$ was transformed to create  $h\left(x\right)=-f\left(\frac{x}{3}\right).$  What transformation(s) occurred?

• A reflection over the x-axis and a horizontal stretch

• A reflection over the y-axis and a horizontal stretch

• A reflection over the x-axis and a vertical strech

• A reflection over the y-axis and a vertical stretch

The graph of $f\left(x\right)=x^2$ is transformed to create  $m\left(x\right)=f\left(3x-2\right).$  What transformation(s) occurred? 

• horizontal compresssion

• translates right

• horizontal stretch

• translates left

• translates down

The graph of $f\left(x\right)=x^2$ has been transformed to create the graph of  $g\left(x\right).$  The graphs are shown.  If  $g\left(x\right)=f\left(x-c\right),$ what value of $c$ ?

(a)  

The graph of $f\left(x\right)=x^2$ is transformed to create the graph of $g\left(x\right).$ Both graphs are shown.  If  $g\left(x\right)=f\left(x\right)+d,$ what is the value of $d?$  

(a)  

The graph of the quadratic parent function $f$ was transformed to create the graph of  $g\left(x\right)=f\left(x+1\right)-2.$  Which graph best represents  $g?$   

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The graph of $f\left(x\right)=x^2$ is transformed to create the graph of  $g\left(x\right)=4x^2.\$  Which statement best describes the relationship between $f$ and $g?$  

• The graph of $g$ is narrower than the graph of $f.$  

• The graph of $g$ is wider than the graph of $f.$  

• The graph of $g$ is 4 units below the graph of $f.$  

• The graph of $g$ is 4 units above the graph of $f.$