The area of a circle is represented by the equation:
We know that the diameter is two times the radius:
So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:
-->
So then we can plug this radius in to the equation for the area of a circle:
We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:
Now we know that the area of this circle is 452.16 square meters.
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.
