Question

Find the standard form of the equation of the parabola given vertex and two points.

Answer 1

Vertex = (3,1)
Point A = (2,0)
Point B = (4,0)

Answer 2

@whpalmer4

Answer 3

Same approach should work

Answer 4

How do I do it with 2 points? :/

Answer 5

Ignore 1 of them? :-)

No, they are a clue as to which way the parabola opens

Answer 6

y = a(x-h)^2+k
0 = a(2-3)^2+1
0 = a+1
a = -1

y= -1(x-3)^2+1
I'm confused on what to do now :/

Answer 7

Once you know that, you know which form to use, and you can use either point to fit the parabola

Answer 8

Put in standard form and you are done

Answer 9

y-1 = -1(x-3)^2
-y+1 = (x-3)^2
-(y-1) = (x-3)^2
would this be correct?

Answer 10

Expand it to ax^2+bx+c

Gotta go, good luck!

Answer 11

thanks :D