What is the vertex form of #y= (3x+9)(x-2) #?
1 Answer
Mar 12, 2017
Explanation:
First let's expand the equation:
which simplifies to:
Let's find our vertex using
We find the x value of our vertex to be
(
Plug it into our equation and find y to be
so our vertex is at
We can also check this with a graph:
graph{(3x^2+3x-18) [-10.3, 15.15, -22.4, -9.68]}
Now that we have our vertex, we can plug it into the vertex form!
where
so
In the end we find: