If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
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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 <em>y</em><em> </em>and solve for <em>x</em><em>.</em><em> </em>When you do this, you will get <em>4</em><em> </em><em>=</em><em> </em><em>x</em><em>.</em><em> </em>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.
