Question

match the graph with its function y=-2x²+2

Explanation:

Step1: Identify parabola direction

The coefficient of $x^2$ is $-2$, negative, so the parabola opens downward.

Step2: Find vertex of the parabola

For $y=ax^2+k$, vertex is $(0,k)$. Here $k=2$, so vertex is $(0,2)$.

Step3: Match to correct graph

Look for a downward-opening parabola with vertex at $(0,2)$; this corresponds to graph a.

Answer:

a