how to apply transformations to create an equation

Question

I need to create a equation using just transformations given. I have to be able to graph the equation and find domain and range.

Answer 1

Jasmine,

 

let's use the equation y=x^2 for starters.

If we reflect across the y axis it's y=-x^2.

If we move a units up it's y=x^2+a

If we move a units down it's y=x^2-a

If we move a units left it's y=(x+a)^2

If we move a units right it's y=(x-a)^2

If we rotate 90 degrees, swap x and y.

 

Hope that helps,

Deanna