!!!Need help with this ASAP!!!

Question

Find the vertex for the parabola

Answer 1

Hi Paul!

I believe this question is testing knowledge of the "vertex form of a parabola".

The vertex form of the parabola is where the equation for for a parabola is written as

y = a(x - h)² + k.

The vertex of the parabola written in this way will always be at the point (h,k).

Looking at your equation y + 1 = 1/16(x - 2)², we almost have it in the right form. All we have to do is subtract one from both sides, which gives us

y = 1/16(x - 2)² - 1.

Now your equation is written in vertex form, and we know that the vertex is at the point (h,k). What are h and k for your equation? Well h has to be 2, and k has to be -1. Therefore, the vertex of the parabola is at the point (2,-1).

Answer 2

Vertex form of a line is: y = a(x – h)² + k, where the vertex is the point (h, k).

Given y+1=1/16(x-2)^2

y=1/16(x-2)^2 -1

Therefore: h=2 and k=-1 and the vertex is (2,-1)