Transformations of the Quadratic Mother Function

Which of the following equations shows  $y=x^2$  

 translated vertically 6 units down?

•  $y=x^2+6$  

•  $y=x^2-6$  

•  $y=\left(x+6\right)^2$  

•  $y=\left(x-6\right)^2$  

Which of the following equations shows  $y=x^2$  

 translated horizontally 6 units right?

•  $y=x^2+6$  

•  $y=x^2-6$  

•  $y=\left(x+6\right)^2$  

•  $y=\left(x-6\right)^2$  

Which of the following equations shows  $y=x^2$  

 translated 4 units right and translated 2 units up??

•  $y=\left(x-4\right)^2+2$  

•  $y=\left(x+4\right)^2-2$  

•  $y=\left(x+2\right)^2+4$  

•  $y=\left(x-2\right)^2+4$  

Which of the following equations shows  $y=x^2$  

reflected across the x-axis and dilated so growth is 4 times normal?

•  $y=4x^2$  

•  $y=-4x^2$  

•  $y=\frac{1}{4}x^2$  

•  $y=-\frac{1}{4}x^2$  

Which of the following correctly describes one of the transformations from

 $y=x^2$  to  $y=-\frac{1}{2}\left(x+5\right)^2-3$  ?

• horizontal translation up 5
  

• horizontal tranlation up 3

• vertical translation down 3

• vertical translation down 5

Which of the following correctly describes one of the transformations from

$y=x^2$ to $y=-\frac{1}{2}\left(x+5\right)^2-3$ ?

• horizontal translation left 5
  

• horizontal tranlation left 3

• horizontal translation right 5

• horizontal translation right 3

Which of the following correctly describes one of the transformations from

$y=x^2$ to $y=-\frac{1}{2}\left(x+5\right)^2-3$ ?

• dilation where growth is 5 more than normal
  

• dilation where growth is 3 less than normal

• dilation where growth is one half of normal

• dilation where growth is twice normal

Which of the following correctly describes one of the transformations from

$y=x^2$ to $y=-\frac{1}{2}\left(x+5\right)^2-3$ ?

• reflected across x-axis
  

• reflected across y-axis

• there is no reflection

Which of the following equations still has the same growth as  $y=x^2$  ?

•  $y=4\left(x-3\right)^2+1$  

•  $y=-\left(x-2\right)^2+1$  

•  $y=\left(x-\frac{1}{4}\right)^2+8$  

•  $y=-2x^2+1$  

Which of the following equations does not have a horizontal translation?

•  $y=4\left(x-3\right)^2$  

•  $y=-\left(x-2\right)^2+1$  

•  $y=\left(x-\frac{1}{4}\right)^2+8$  

•  $y=-2x^2+1$