Transformations of graphs 1 - translations

What is the equation of the transformed graph?

• 

  $y=x^2+4$

• $y=x^2$

• $y=\left(x-4\right)^2$

• $y=x^2-4$

What is the equation of the transformed graph?

• $y=-2x^2$

• $y=\left(x-2\right)^2$

• $y=x^2-2$

• $y=\left(x+2\right)^2$

What is the equation of the transformed function?

• $y=\left(x-4\right)^2$

• $y=x^2-4$

• $y=x^2+4$

• $y=\left(x+4\right)^2$

What is the equation of the transformed graph?

• $y=3x^2$

• $y=\left(x-3\right)^2$

• $y=\left(x+3\right)^2$

• $y=x^2+3$

The equation of the red curve is

 $y=x^3+3x^2+2$  
What is the equation of the blue curve?

•  $y=x^3+3x^2$  

•  $y=x^3+3x^2-2$  

•  $y=x^3-3x^2-2$  

•  $y=x^3+3x^2+4$  

The maximum point of this graph is at (2,5)
Where is the maximum point on the graph of

 $y=f\left(x\right)+3$  ?

•  $\left(2,8\right)$  

•  $\left(5,8\right)$  

•  $\left(5,5\right)$  

•  $\left(-1,2\right)$  

The red curve has equation

 $y=\frac{1}{2}x^2-2$  
What is the equation of the blue curve?

•  $y=\frac{1}{2}x^2-5$  

•  $y=\frac{1}{2}x^2+3$  

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

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

The red graph has equation  $y=f\left(x\right)$  
What is the equation of the blue graph?

•  $y=f\left(x+5\right)+1$  

•  $y=f\left(x+5\right)-1$  

•  $y=f\left(x-5\right)-1$  

•  $y=f\left(x-5\right)+1$