Question

What is the equation of the following graph in vertex form?

Answer 1

If I find my geometry journal o can help you. Just give me a minute and in advance, I'm sorry if I can't find it!

Answer 2

okay!

Answer 3

Vertex form is \(y=a(x-h)+k\) where \((h,k)\) is the vertex.

What is the vertex of the graph you have?

Answer 4

-3,-1?

Answer 5

Correct mollzlask. Just put -3 for h and -1 for k

Answer 6

Ok yes, if you do that you have

\(y=a(x+3)-1\)

Now we need to figure out what \(a\) is. So we use another point.

It is easiest to use \((0,8)\). Plug that in

\(8=a(0+3)-1\iff 8=3a-1 \iff 9=3a \iff 3=a\)

So we have \(y=3(x+3)-1\)