4.1 Transformations of Quadratic Functions

4.1 Transformations of Quadratic Functions

Poll

Which of the following equations represents a reflect over the x-axis from the original graph of      

 $f\left(x\right)=x^2$  ?

•  $y=3x^2$ 

•  $y=\frac{1}{4}x^2$  

•  $y=-3x^2$  

Poll

Which of the following equations represents a  stretch from the original graph of      

 $f\left(x\right)=x^2$  ?

•  $y=3x^2$ 

•  $y=\frac{1}{4}x^2$  

•  $y=-3x^2$  

Poll

Which of the following equations represents a compress from the original graph of      

 $f\left(x\right)=x^2$  ?

•  $y=3x^2$ 

•  $y=\frac{1}{4}x^2$  

•  $y=-3x^2$  

Poll

Which of the following equations represents translation 3 units left from the original graph of      

 $f\left(x\right)=x^2$  ?

•  $y=\left(x-3\right)^2$ 

•  $y=\left(x+3\right)^2$  

•  $y=x^2-3$  

Poll

Which of the following equations represents translation 6 units up from the original graph of      

 $f\left(x\right)=x^2$  ?

•  $y=\left(x-6\right)^2$ 

•  $y=x^2-6$  

•  $y=x^2+6$  

Poll

Which of the following equations would represent this RED graph?    

•  $y=3x^2+8x+2$  
  

•  $y=-3x^2+8x+2$  
  

Poll

Which of the following equations would represent the RED graph with a vertex of (1, 0)?

• $y=\left(x-1\right)^2$

• $y=\left(x+1\right)^2$

Poll

Which of the following equations would represent the RED graph with a vertex of (3, - 4)?

• $y=\left(x-3\right)^2-4$

• $y=\left(x+3\right)^2-4$

Poll

Which is the axis of symmetry for the graph in blue?

• $x=2$

• $x=-2$

• $\left(-2,-4\right)$