Answer:
Step-by-step explanation:
If you plot the vertex and the point that it goes through, the point it goes through is above the vertex, so the vertex is a positive one that opens upwards. The general vertex form of a parabola of this type is
[tex]y=a(x-h)^2+k[/tex]
We have the x, y, h, and k. We will plug all those in and solve for a. That looks like this:
[tex]-5=a(6-4)^2-13[/tex] which simplifies to
-5 = 4a - 13 and
8 = 4a so
a = 2
That means that the paraobola in vertex form is
[tex]y=2(x-4)^2-13[/tex]
