Transformations of Parabolas

What do you call the shape of the graph of

 $y=x^2$  ?

• Perfect

• A Pentagon

• A Parabola

• A Parallelogram

Which description best fits the transformation of f(x)=x² into f(x) =2x²-1?

• Opens down, is narrow, and shifted right 1

• Is wider and shifted down 1

• Shifted down 1 and is narrow

• Is narrow and shifted up 1

Which description best fits the transformation of f(x)=x² into f(x) =(x-5)²+3 ?

• Opens up, shifts to the right 5, and shifts up 3

• Is narrow, shifts left 5 and up 3

• Shifts right 5 and down 3

• Opens down and shifts up 3

Which description best fits the transformation of  $f\left(x\right)=x^2$   into

 $f\left(x\right)=-\frac{1}{2}x^2$  ?

• Opens down and is narrow

• Shifted down and is wider

• Shifted down and is Narrow

• Opens down and is wider

 $f\left(x\right)=5x^2-3$  

Check ALL of the transformations that apply for the function.

• Is Narrow

• Shifted left 3

• Opens down

• Shifted down 3

• Is Wider

 $f\left(x\right)=-3\left(x+2\right)^2$  

Check ALL of the transformations that apply to the function

• Shifted left 2

• Shifted right 2

• Shifted up 2

• Opens down

• Is Narrow

Which of the following equations best fits the graphs of the transformed function shown in red?

 $f\left(x\right)=x^2\ is\ shown\ in\ black.$  

•  $f\left(x\right)=-3x^2$  

•  $f\left(x\right)=\frac{1}{3}x^2-1$  

•  $f\left(x\right)=\frac{1}{3}\left(x-1\right)^2$  

•  $f\left(x\right)=3\left(x-1\right)^2$  

Which of the following equations best fits the graphs of the transformed function shown in red?

• $f\left(x\right)=\left(x-1\right)^2-3$

• $f\left(x\right)=\left(x+3\right)^2-1$

• $f\left(x\right)=-\left(x-3\right)^2+1$

• $f\left(x\right)=\left(x-3\right)^2-1$

Which of the equations below would most likely to fit the graph shown in red?

•  $y=-4x^2+3$  

•  $y=0.2x^2+3$  

•  $y=x^2+3$  

•  $y=4x^2-3$  

Consider the graph of the equation below. Where would the VERTEX be?

 $y=\left(x-3\right)^2+4$  

• (0, 0)

• ( 3, 4)

• (-3, 4)

• (4, -3)