Question

which equation defines the graph of y=x^2 after it is shifted vertically 3 units down and horizontally 5 units left?

Answer 1

if you were to shift y=x^2 vertically 3 units down, what do you get?

Answer 2

wouldn't y= -3

Answer 3

you'll have -3 in there

Answer 4

it'll go from \[\Large y = x^2\] to \[\Large y = x^2-3\]

Answer 5

now how do we shift 5 units left?

Answer 6

+5?

Answer 7

yep, we replace x with x+5

\[\Large y = (x+5)^2-3\]

is the final answer

Answer 8

y=(x+5)^2-3?

Answer 9

nailed it

Answer 10

oooh, haha, thank you!!

Answer 11

you're welcome