How do you:
Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = x2 + 13

Question

How do you:
Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = x2 + 13

anonymous · Answer

x^2

mathmate · Answer

The general transformation of a quadratic is
$ y=a(x-h)^2+k $
where h=horizontal translation to the right
k= vertical translation upwards
a=scaling factor.
Can you proceed from here?

anonymous · Answer

So it would be k=13.
So it would shift UP 13 units? down right left....?

mathmate · Answer

Yes, from y=x^2 to y=x^2+13, the graph is shifted upwards by 13 units by adding 13 to y.

mathmate · Answer

Down would be k=-13
Right would have been h=13, and left would have been h=-13.