SOLUTION: Given a vertex of (-3,4) what is the equation of this quadratic in vertex form?

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Question 1178870: Given a vertex of (-3,4) what is the equation of this quadratic in vertex form?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Given a vertex of (-3,4) =>h=-3, k=4
the equation of this quadratic in vertex form is
f%28x%29=%28x-h%29%5E2%2Bk
f%28x%29=%28x-%28-3%29%29%5E2%2B4
f%28x%29=%28x%2B3%29%5E2%2B4

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

As the problem is worded,  printed,  posted and presented,  there are  INFINITELY  MANY  quadratic functions with the pre-assigned vertex.


They all have the form / (an equation)

        y   =   a*(x-(-3))^2 + 4   =   a*(x+3)^2 + 4,

where  "a"  is an arbitrary non-zero real number.


So,  NETHER  the original post is formulated correctly,  NOR  the answer by  @MathLover1 is correct.



            To be totally clear,   they   B O T H   are   I N C O R R E C T.