## anonymous one year ago Directrix: Y=9 Focal Point: (7,6) Create an equation for a parabola.

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1. anonymous

@Hero

2. anonymous

The work should look like this

3. anonymous

I can upload another example if needed

4. Hero

Seems easy enough. What prevents you from being able to do it yourself?

5. anonymous

I am not good at foiling, or solving for a variable

6. Hero

Show the steps up to the point where you get stuck. Then I'll help.

7. anonymous

In the picture, where it says y2^2+6y2+9 in red, I dont know how they are getting the numbers. If I knew where the numbers came from, I could solve it.

8. Hero

It comes from squaring $$(y_2 + 3)^2$$.

9. anonymous

ok, but where does the 6y2 and the 9 come in

10. anonymous

oh i see, i think i got it now!!!!

11. Hero

\begin{align*}(y_2 + 3)^2 &= (y_2 + 3)(y_2 + 3)\\&=y_2(y_2 + 3) + 3(y_2 + 3) \\&= y_2^2 + 3y_2 + 3y_2 + 9 \\&=y_2^2 + 6y_2 + 9\end{align*}

12. anonymous

ok, thank you so much! I believe I got it know!

13. Hero

Okay, good.