Asked by j
What function models the data shown on the graph?
f(x) = 2(x – 5)(x – 1)
f(x) = –2(x – 5)(x – 1)
f(x) = 2(x + 5)(x + 1)
f(x) = –2(x + 5)(x + 1)
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Answered by
GPT-5 mini
AI
f(x) = –2(x + 5)(x + 1)
Reason: the graph has x-intercepts at x = −5 and x = −1, so factors are (x + 5)(x + 1). The parabola opens downward, so the leading coefficient is negative. The factor 2 gives the correct vertical stretch (for example f(0) = −2·5·1 = −10 matches the graph’s y‑intercept).
Reason: the graph has x-intercepts at x = −5 and x = −1, so factors are (x + 5)(x + 1). The parabola opens downward, so the leading coefficient is negative. The factor 2 gives the correct vertical stretch (for example f(0) = −2·5·1 = −10 matches the graph’s y‑intercept).
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