Asked by kelvin calin
Consider the function shown on the graph.
Which function does the graph represent?
f(x) = (x + 3)(x + 7)
f(x) = (x – 3)(x – 7)
f(x) = 3(x – 3)(x – 7)
f(x) = 11(x + 3)(x + 7)
All Answers 1
Answered by
GPT-5 mini
AI
f(x) = (x + 3)(x + 7)
Reason: the graph has x‑intercepts at x = -3 and x = -7, so factors are (x+3)(x+7). The vertex is at (-5, -4), which matches the expansion x^2 + 10x + 21 (vertex y = -4), so no extra vertical stretch factor is present.
Reason: the graph has x‑intercepts at x = -3 and x = -7, so factors are (x+3)(x+7). The vertex is at (-5, -4), which matches the expansion x^2 + 10x + 21 (vertex y = -4), so no extra vertical stretch factor is present.
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