Question

How is the graph of y=(x+9)^2 transformed form the graph of y=x^2.

Answer 1

y=(x+9)^2 is the same as y=(x-(-9))^2

if you compare y=(x-(-9))^2 to y=a(x-h)^2 +k, you'll find that

a = 1, h = -9 and k = 0

Answer 2

what does that value of h tell you?

Answer 3

How many units your going to move?

Answer 4

yes you're on the right track

Answer 5

does h tell you how to move up and down?

or

does h tell you how to move left and right?

Answer 6

move up and down? right?

Answer 7

no, that's actually what k does

Answer 8

ohh so it tells which way to move either left or right?

Answer 9

yes, if h is negative, are we going left or right?

Answer 10

we would be going left

Answer 11

how many units to the left

Answer 12

9

Answer 13

correct

to go from y = x^2 to y = (x+9)^2, you shift the original parent graph 9 units to the left

Answer 14

ohh ok i see now