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zarkam21 (zarkam21):
OpenStudy (mathmale):
There are several equations for a parabola; all are quadratic equations.
One is y=ax^2+bx+c; another is \[y-k=a(x-h)^2...\] where (h,k) is the vertex.
Which equation would serve you better here? Why?
Start substituting known values into that equation.
zarkam21 (zarkam21):
So y-3=a(x-2)^2 ?
OpenStudy (mathmale):
But the vertex is at (3,2): h=3 and k=2. Mind fixing your result? y-3=a(x-2)^2 ?
zarkam21 (zarkam21):
y-2=a(x-3)^2
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zarkam21 (zarkam21):
@agent0smith is this correct?
OpenStudy (agent0smith):
Yes, then plug in the other point given on the graph, to solve for a.
zarkam21 (zarkam21):
What is the other point, I plugged in the vertex
OpenStudy (agent0smith):
It's given on the graph...
zarkam21 (zarkam21):
6-2=a(4-3)^2
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OpenStudy (agent0smith):
Now you can find a.
zarkam21 (zarkam21):
4
zarkam21 (zarkam21):
So the answer choice B?
zarkam21 (zarkam21):
Hello?
OpenStudy (agent0smith):
Looks about right
y-2=a(x-3)^2
plug in your value of a and simplify.
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zarkam21 (zarkam21):
Well I got 4
zarkam21 (zarkam21):
that a=4
OpenStudy (vuriffy):
y-2=a(x-3)^2
(add 2)
y=a(x-3)^2 + 2
OpenStudy (vuriffy):
Which one has (x-3) and + 2?
OpenStudy (vuriffy):
Only one has this answer, so it is definitely your answer.
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