Question

What is the equation of y equals x cubed with the given transformations?

vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down

Answer 1

Horizontal shift of f(x) ---> f(x + a)
Vertical shif f(x) ----f(x) +a

Answer 2

stretch

f(x) --->a*f(x)

Answer 3

Use f(x) = x^3 with those transformations

Answer 4

Horizontal stretch: \(\displaystyle y=f(\frac{x}{k})\)
Vertical stretch: \(y=kf(x)\)
Horizontal shift: \(y=f(x-k)\)
Vertical shift: \(y=f(x)+k\)
By the magnitude of \(k\).

Answer 5

So I have y=3(x^3-4)+3?

Answer 6

Nope, perform the steps one by one

Answer 7

it should be (x-4)^3 instead of x^3-4, for that matter

Answer 8

Okay so to start I do the vertical stretch by 3
y=3 (x^3)
Then the horizontal
y=3(x-4)^3
Then the vertical shift
y=3(x-4)^3-3
Like this?

Answer 9

Yep, exactly.

Answer 10

Thanks!