Question

For the equation y=1/4x^2+2x+5, What is the vertex? How do you write the equation in vertex form? What is the focal length? What is the focus? and how do you write the directrix?

Answer 1

Vetex from standard form can be calculated using\[x=\frac{ -b }{ 2a }\] Once the x value for the point is known, plug it into the original equation to calculate the y value.

Answer 2

(-4,1) is the vertex

Answer 3

Thank you