Question

What is the vertex for the graph of y– 3 = -(x+2)' A (3,2) B. (2-3) c. (3,-2) D. (-2,3)

Answer 1

D. (-2,3)​

Explanation:

The equation of a parabola has the following form:

`\begin{gathered} 4p\cdot(y-k)=(x-h)^2 \\ \text{where, (h, k) is the vertex} \end{gathered}`

In this case:

`\begin{gathered} y-\: 3\: =\: -\mleft(x+2\mright)^2 \\ (h,k)=(-2,3) \end{gathered}`

Therefore, the vertex is (-2, 3)