main algebraic solution

Mathematics
Tutor: None Selected Time limit: 1 Day

May 28th, 2015

Just knowing those two points we can come up with an equation.

Firstly, we know h and k (at the vertex):

(h, k) = (1,1)

So let's put that into this form of the equation:

f(x) = a(x-h)2 + k

f(x) = a(x-1)2 + 1

Then we calculate "a":

We know (0, 1.5) so: f(0) = 1.5
   
And we know the function (except for a):   f(0) = a(0-1)2 + 1 = 1.5
   
Simplify:   f(0) = a + 1 = 1.5
  a = 0.5

And so here is the resulting Quadratic Equation:

f(x) = 0.5(x-1)2 + 1


May 28th, 2015

wrong

May 28th, 2015

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