Question

What is the equation of y=x^3 with the given transformations? Vertical compression by a factor of 1/7 ,horizontal shift 8 units to the left, reflection across the x axis

Answer 1

Answer:

y = (1/7)(x + 8)³

Step-by-step explanation:

We are given the function; y = x³

There is a vertical compression by a factor of 1/7 which means that we now have the function as;

y = (1/7)x³

We are told that it shifts by 8 units to the left. This means we will have;

f(x + 8)

This gives;

y = (1/7)(x + 8)³