00:01
For this exercise, we know that a quadratic function goes through the vertex of 5 -4 and passes through the point 2 -94, and we're going to determine the equation of such a function.
00:12
We start by writing that f of x is equal to its standard form, a times x minus h squared, plus k.
00:21
Then on the next line, we can write f of x equals a times.
00:26
First i'll write x, and then go back to the vertex.
00:30
Because this is a positive 5, we'll always take its opposite to produce a negative 5 here and square the resulting group.
00:39
Then for the second portion, plus k, we directly copy in the second coordinate of the vertex along with this sign, so we'll have a plus 4 here.
00:50
For the next step, as soon as we determine the value of a, our work is going to be complete...