Question

match the graph with its function y=3x²-4

Explanation:

Step1: Identify vertex of parabola

The function $y=3x^2-4$ is in the form $y=ax^2+k$. For this form, the vertex is at $(0,k)$. Here, $k=-4$, so vertex is $(0,-4)$.

Step2: Determine parabola direction

Since $a=3>0$, the parabola opens upward.

Step3: Match to correct graph

Look for an upward-opening parabola with vertex at $(0,-4)$. This corresponds to graph B.

Answer:

B (the upward-opening parabola with vertex at (0, -4))