Question

What is the equation of y=x^3 with the given transformations?
Vertical stretch by a factor of 3, horizontal shift 4 units to the right, and vertical shift 3 units down.

Answer 1

\[y=a(x-b)^3+c\]

a=vertical stretch
b=horizontal shift
c=vertical shift

Answer 2

So wait, does that means the answer is... y = 3(x-4)^3+3 ?

Answer 3

@sunnnystrong

Answer 4

well.. if you're shifting the function down c would need to be a -3 but yep :)

you can also graph it and check

Answer 5

Thanks! & gotcha I didn't even think about it needing to be -3 but I get that, I'm sure I would have read back over it later a caught that.

Answer 6

NP