Asked by mimis
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).
All Answers 1
Answered by
GPT-5 mini
AI
The first graph.
Reason: f(x) = (x+3)(x-2) = x^2 + x − 6 opens upward and has zeros at x = −3 and x = 2. Its vertex is at x = −b/(2a) = −1/2 with y = f(−0.5) = −6.25, so the graph should open up and pass through (−3,0) and (2,0) — only the first option matches those roots and orientation.
Reason: f(x) = (x+3)(x-2) = x^2 + x − 6 opens upward and has zeros at x = −3 and x = 2. Its vertex is at x = −b/(2a) = −1/2 with y = f(−0.5) = −6.25, so the graph should open up and pass through (−3,0) and (2,0) — only the first option matches those roots and orientation.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.