Question

Describe the features of the function that can be easily seen when a quadratic function is givenin the form: y = a(x – h)2 +k and how they can be identified from the equation.

Answer 1

we have that

the equation

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

represent a quadratic equation written in vertex form

where

(h,k) -----> is the vertex of the vertical parabola

and

a ----> is the leading coefficient

if a>0 -----> the parabola opens upward and the vertex is a minimum

if a < 0 ----> the parabola opens downward and the vertex is a maximum