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, vertical shift 3 units down

Answer 1

Y=3x^3(x-4)-3
y=a......(x-k)-c

Answer 2

Answer:

y=(1/3)(x^3+4)+3

Step-by-step explanation:

y=x^3

Anything vertical affects the y, anything horizontal affects the x.

Vertical stretch:

3y=x^3

Horizontal shift 4 to the right:

3y=x^3+4

Vertical shift 3 down:

3y-3=x^3+4

Get y isolated.

3y=(x^3+4)+3

y=(1/3)(x^3+4)+3