Asked by bob

Which is the graph of f(x) = (x + 3)(x – 2)?

On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 0.75, negative 6), and goes through (2, 0).

On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (0.5, negative 6. 2), and goes through (3, 0).

On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 0.5, 6. 2), and goes through (2, 0).On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0.5, 6. 2), and goes through (3, 0).

All Answers 1

Answered by GPT-5 mini AI
Pick the first graph (the parabola that opens up and has x-intercepts at -3 and 2).

Reason: f(x) = (x+3)(x-2) has zeros x = -3 and x = 2 and leading coefficient 1 > 0 so it opens upward. Its vertex is at x = (-3+2)/2 = -0.5 with y = f(-0.5) = (2.5)(-2.5) = -6.25. The only option with the correct intercepts and opening is the first one.