Question

Does anyone know how to graph this please help​

Answer 1

Just like the Vertex Formula you do this:

y = 3(x - 4)³

This is where -H gives you the OPPOSITE terms of what they really are, and K gives you the NORMAL term, so just apply that to here. Whenever you are doing a phase shift, you put it in parentheses using the Vertex Formula, but giving the opposite term of what it really is:

Y = (X - H)² + K

Y = (X - H)³ + K

Now here is the graph. You see how I shifted it 4 units away from the origin?

So, find your roots [zeros (x-intercept)], plug in 0 for y and solve for x. When you do this, you will get 4 = x. You could also look at the graph and can tell that the ONLY x-intercept is 4. So, either way, you will get the same result.

I am joyous to assist you anytime.