Question

Which function has a vertex at (-1,-3)?

Answer 1

The vertex of an equation is the minimum or the maximum point on the graph.

The equation with the vertex is (-1,-3) is

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

The vertex is given as:

$(h,k)=(-1,-3)$

Substitute the value of h and k in the above equation:

$\begin{gathered} y=a(x--1)^2+(-3) \\ y=a(x+1)^2-3 \end{gathered}$

Hence, the equation with the vertex (-1, -3) is y = a(x+1)² - 3