Find the quadratic function that has vertex (10, -7) and whose graph goes through the point (5, 168).

f(x)=

Sloan
Jun 12, 2018

#1**0 **

Vertex form of a parabola is:

y=a(x-h)^{2}+k; where (h,k) is the vertex

Vertex is given, plug them in.

y=a(x-10)^{2}-7

Now we need to find the value of a.

Graph goes through (5,168), so plug those into x and y to solve for a.

168=a(5-10)^{2}-7

175=a(-5)^{2}

175=25a

a=7

With that, we now have the function of the parabola.

f(x)=7(x-10)^{2}-7

ChowMein
Jun 12, 2018