Hey mathhelpplease.
It's been a while since I was in high school so can I ask what standard form is (for question 2)?
9th grade here! I need help with a problem.. this is it:
[Question]
Write y=a(x-h)^2+k and y=a(x-p)(x-q) in standard form. Knowing the
vertex of the graph of y=ax^2 + bx +c occurs at x=-b/2a, show that the vertex of the
graph of y=a(x-h)^2+k occurs at x=h and that the vertex of the graph of y=a(x-p)(x-q)
occurs at x=p+q/2.
This is how far I got:
y= a(x-h)^2+k
>a(x^2-2xh-h^2)+k
>y=ax^2-a2xh-ah^2+k
>y=ax^2+(-2ah)x+(-ah^2=k)
a=a b=-2ah c=ah^2+k
>Next part:
>a(x-p)(x-q)
>a(x^2-qx-px+pq)
>y=ax^2-aqx-apx+apq
I'm stuck here, how to I arrange it to be standard form?
Hello, mathhelpplease!
Your work seems to be correct,
. . but I'm not sure where (or why) you are stuck.
I'll walk through it for you.
(a) Write and in standard form.
.[1]
.[2]
(b) Knowing the vertex of the graph of occurs at
show that the vertex of the graph of occurs at
and that the vertex of the graph of occurs at
[1] .
Vertex: .
[2] .
Vertex: .