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Mathematics 15 Online
zarkam21 (zarkam21):

Help please, needs to be put it into x = -3(y-v)^2 + h form

zarkam21 (zarkam21):

OpenStudy (phi):

they y value of the vertex goes in as "v" in your formula the x value goes in as h the vertex is (3,-3) what do you get ?

zarkam21 (zarkam21):

-3(y+2)^2+0 ?????

OpenStudy (phi):

x = -3(y-v)^2 + h that is usually written as x= a(y-h)^2 + k and we know (h,k) (i.e. (3,-3) try again.

zarkam21 (zarkam21):

-3(y-3)^3-3

OpenStudy (phi):

I confused you. because this parabola is sideways the (h,k) is reversed. x= a( y-k)^2 + h

OpenStudy (phi):

in other words, we put the "y value" of (3,-3) in as k and the "x value" of (3,-3) as "h" in \[ x= a(y-k)^2 + h \]

zarkam21 (zarkam21):

x=a(y+3)+3

OpenStudy (phi):

yes, with an exponent \[ x= a(y+3)^2 + 3 \] now we use the other point they give us (0, -2) put in 0 for x, and -2 for y. can you do that ?

OpenStudy (phi):

you should get \[ 0 = a(-2+3)^2 + 3\] now we "solve for a"

zarkam21 (zarkam21):

-a(1)^2-3=0

zarkam21 (zarkam21):

@mathmale can you help me

OpenStudy (mathmale):

In what specific way would you like for me to help you?

zarkam21 (zarkam21):

Well @phi left off on me solving for a, to get the equation to be in x = -3(y-v)^2 + h form

OpenStudy (mathmale):

I agree that the parabola is a horizontal one; it opens to the left. phi's formula for this parabola, \[x= a(y-k)^2 + h\]

OpenStudy (mathmale):

is 100% on target. Point out where you began to feel lost.

zarkam21 (zarkam21):

I just wanted to confirm it was right, because phi was helping me and was guiding me then all of a sudden disappeared thats why

OpenStudy (mathmale):

I do the same thing sometimes. Take it easy. Type your equation here.

zarkam21 (zarkam21):

-a(1)^2-3=0

zarkam21 (zarkam21):

that is what I got for my equation

OpenStudy (mathmale):

But you haven't yet found the value of the coefficient "a." How would you go about doing that?

OpenStudy (mathmale):

As phi has shared with you, the general form of the equation for this parabola is\[x= a(y-h)^2 + k \]

zarkam21 (zarkam21):

Okay so to solve for A?

OpenStudy (mathmale):

1. You are told that the vertex is (3,-3). That means h=3 and k=-3. Please substitute those values into phi's suggested equation. Your result?

OpenStudy (mathmale):

Replace h in the equation with 3 and k with -3.

OpenStudy (mathmale):

zarkam?

OpenStudy (mathmale):

You were a bit unhappy when phi 'disappeared;' now it appears that you yourself have 'disappeared.'

OpenStudy (mathmale):

Sorry, but it's my turn to 'disappear.' Never fear, I'll be back on OpenStudy later today, and will continue to help you then.

zarkam21 (zarkam21):

@welshfella help :/

OpenStudy (mathmale):

I left you with some instructions. Mind following them? 1. You are told that the vertex is (3,-3). That means h=3 and k=-3. Please substitute those values into phi's suggested equation. Your result?

zarkam21 (zarkam21):

X=a(y-3)^2-3

OpenStudy (phi):

you got to **** -a(1)^2-3=0 **** as you know, using PEDMAS you do parens and exponents first so you do (1)^2 which means 1*1 so you have -a * 1 - 3 =0 -a times 1 is just -a so you have -a - 3 = 0 add +3 to both sides -a -3+3 = 0 + 3 on the left, -3 + 3 is 0, and -a +0 is -a on the right you get 3 so you have -a = 3 now multiply both sides by -1 -1*-a = -1*3 simplify to get a= -3 now use that in your equation x= a(y+3)^2 + 3 to get x= -3(y+3)^2 + 3 as a check, I used Geogebra to plot it. It looks like the parabola in your question, so the equation is good.

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