SOLUTION: Hi there. I need help with these questions. Writing each first in vertex form, and then in standard form. 1) vertex (3,5) and passing through (1,1) 2) vertex (1,-7) and passing

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Question 887457: Hi there. I need help with these questions. Writing each first in vertex form, and then in standard form.
1) vertex (3,5) and passing through (1,1)
2) vertex (1,-7) and passing through (-2,29)
3) vertex (-6,-5) and passing through (-3,4)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
Vertex form and standard form are the same thing.

The basic idea is to use the given data and use for the vertex (h,k). The point being "passed through" helps to get the value of a.

You do like this:
Vertex (h,k) passing through (u,v).
, and you want to find a.


Substitute the given point
, and compute if using unvaried given numbers for v,u, k and h.
Finish writing the equation with the found and now known values for a, h, and k.
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

Hi there. I need help with these questions. Writing each first in vertex form, and then in standard form.
1) vertex (3,5) and passing through (1,1)
2) vertex (1,-7) and passing through (-2,29)
3) vertex (-6,-5) and passing through (-3,4) 


Doing 1 of the 3 should be enough for you to follow

Vertex, or (h, k) = (3, 5), and pass-through point, (x, y) being (1, 1)

Vertex equation-form of a parabola:  becomes:

 ----- Substituting variables to determine the value of "a"



1 = 4a + 5

4a = 1 - 5

4a = - 4

, or - 1



Vertex form:   







Standard form:  

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