Question

If you apply the changes below to the cubic parent function, F(x)=x3, what is the equation of the new function if it reflects across the y-axis and vertically stretches by multiplying by 7

Answer 1

g(x) = 7(-x)³

Explanation:

The cubic parent function is given as; f(x) = x³

Now, we are told that it reflects across the y-axis. This means that the new function will take the form;

g(x) = f(-x)

Thus, the new function is;

g(x) = (-x)³

Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;

g(x) = 7(-x)³