Which equation defines the graph of y = x^2 after it is shifted vertically 3 units down and horizontally 5 units left?
a. y = (x-5)^2-3
b. y = (x+5)^2 - 3
c. y = (x-3)^2-5
d. y = (x+3)^2-5

Question

Which equation defines the graph of y = x^2 after it is shifted vertically 3 units down and horizontally 5 units left?
a. y = (x-5)^2-3
b. y = (x+5)^2 - 3
c. y = (x-3)^2-5
d. y = (x+3)^2-5

noseboy908 · Answer

The formula is y=(x-h)^2 +k, where h is the horizontal movement and k is the vertical movement. So let's take your two expressions of "3 units down" and "5 units left". Remembering that it's (x-h), NOT (x+h), plug in your numbers.

juliannamartineez · Answer

ok.... so its b?

noseboy908 · Answer

Correct. Did you have any questions about the formula or anything else on this problem?

juliannamartineez · Answer

nope. just needed a little refresher on what i was doing. thx a bunch!

noseboy908 · Answer

Happy to help.