Question

Write the following equation in vertex form by whatever means necessary.y=2(x-3)^2-2what information can you identify from a quadratic in vertex form

Answer 1

The general vertex form of a quadratic equation is:

$y=a(x-h)^2+k$

where the point (h,k) is the vertex

In the case of

$y=2(x-3)^2-2$

the vertex is located at (3,-2). Also, we can see that a = 2, which is greater than 0, this means that the curve opens up