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

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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).

Mathematics

1 answer:

PIT_PIT [12.4K] · Answer 1 · 2026-03-18T07:57:28+03:00

Answer:

On a coordinate plane, a parabola opens upwards

It passes through (-3, 0), has a vertex at (-0.5, -6.25), and also intersects (2, 0).

Step-by-step explanation:

f(x) = (x + 3)(x – 2)

It can be inferred that the parabola opens upwards since the x^2 coefficient is positive.

The parabola crosses the x-axis at x = -3 and x = 2 from the zero-product property, which gives us x + 3 = 0 and x - 2 = 0.

The vertex lies midway between these zeros:

(-3 + 2)/2 = -1/2 thus, x = -1/2.

Evaluating f(-1/2) yields f(-1/2) = (-1/2 + 3)(-1/2 - 2), simplifying to 2.5 * -2.5 = -6.25, confirming the vertex at (-1/2, -6.25).