Question

Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = (x - 12)^2 + 3

Answer 1

@jim_thompson5910

Answer 2

how far did you get

Answer 3

I know it's up three

Answer 4

good

Answer 5

what else

Answer 6

But i get confused with left and right

Answer 7

Is left positive?

Answer 8

since you have x-12, you go to the right 12 units

in general, you have x-h and the h is how you move horizontally

Answer 9

if h > 0, then you move to the right
if h < 0, then you move to the left

Answer 10

so right 12 and up 3?

Answer 11

correct

Answer 12

thank you!

Answer 13

np

Answer 14

wait but since h is -12 and it's lower than 0, would it be left 12?

Answer 15

@jim_thompson5910

Answer 16

it's x - h

so you replace just the h with 12 to get x - 12

that means h = 12

Answer 17

if you had x+12, then

x+12 = x - (-12)

compare that to x - h and we see that h = -12 now

Answer 18

ooooh gotcha