SOLUTION: Find a quadratic function y=a(x-h)^2 for which the graph includes the given points. What are the steps for solving this kind of problem? Example (-2,1),(2,1)

Question 1080303: Find a quadratic function y=a(x-h)^2 for which the graph includes the given points.
What are the steps for solving this kind of problem?
Example
(-2,1),(2,1)
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
is like if k=0.

Two values of x having the same value of y, in (-2,1) and (2,1).
Symmetry axis and vertex are in the middle of x=-2 and x=2, which is x=0.
This means, h=0.

Pick either point to determine coefficient a.

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Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

given points:(,),(,)
use given points to find and
.....if (,)=> and
.....solve for
...........eq.1

.....if (,)=> and
....solve for
...........eq.2
from eq.1 and eq2 we have
...cross multiply
.............solve for

find
...........eq.1

so your equation is:

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