Question

Find the equation of the parabola with focus (2, 3) and directrix y = -1.

Answer 1

@Hero

Answer 2

Have you not figured out how to do these yet?

Answer 3

I asked you for clarification on the one you said I was doing wrong & you didnt reply.

Answer 4

I was about to reply but I discovered that satellite was helping you.

Answer 5

The way he is helping is by the graphs and I don't understand that way . I prefer trying to square it I just don't know how to .

Answer 6

So you don't know how to muliply this:
(y - 2)(y - 2)

Answer 7

That's the same as \((y - 2)^2\)

Answer 8

Working on these assumes you know how to multiply binomials.

Answer 9

yes I know how to multiply that .

Answer 10

Well, when you multiply two binomials that are the same, you are squaring them.

Answer 11

I hope that helps you.

Answer 12

oh okay soo .. this problem would begin by doing (x-2)^2 (x-3)^2 ?

Answer 13

If you're going to do it, you might as well be thorough and write it all out. Otherwise, I'm going to assume that you are making a mistake.

Answer 14

x-2)^2 + (x-3)^2 = (x - x)^2 + (y -(-1))^2

Answer 15

x^2 - 4 + x^2-9 = x^2 +y^2 +1 ???

Answer 16

squaring binomials is not the same as a difference of squares:

\((x - 2)^2 \ne x^2 - 4\)

Answer 17

Im so sorry , but I am confused !

Answer 18

\((x - 2)^2 = (x - 2)(x - 2)\)

\(x^2 - 4 = (x + 2)(x - 2)\)

Answer 19

Hopefully, that will clear up some of the confusion

Answer 20

\((x - 3)^2 = (x - 3)(x - 3)\)

\(x^2 - 9 = (x + 3)(x - 3)\)

Answer 21

I simplified your original problem too :
(x-3)^2 + (x-2)^2 = (y+1)^2
does that help anything ?

Answer 22

@Hero

Answer 23

Yes, but go ahead and expand it from there

Answer 24

can you help me ?

Answer 25

like just on the first binomial ? so i know how to do it ..

Answer 26

I thought you said you know how to multiply binomials. If you are confused just write it out
Do you know how to multiply (y - 2)(y - 2)?

Answer 27

y^2 +4 ?

Answer 28

apply FOIL to avoid confusion

Answer 29

So that is :
Y(y) + 2(y) .. ? 2(2)

Answer 30

I am missing one .. can you help me ?

Answer 31

@Faith_Rochelle, if you don't know how to multiply binomials, then you shouldn't be doing these.

Answer 32

@Hero the home school I do my mom is supposed to be my teacher and she dont know how to do these. can you please just explain it ?