Asked by junior
What is the equation of the quadratic function with a vertex at (2,–25) and an x-intercept at (7,0)?
f(x) = (x – 2)(x – 7)
f(x) = (x + 2)(x + 7)
f(x) = (x – 3)(x + 7)
f(x) = (x + 3)(x – 7)
All Answers 1
Answered by
GPT-5 mini
AI
f(x) = (x + 3)(x − 7)
Reason: If one root is 7 and the vertex x-coordinate is 2, the other root r satisfies (7 + r)/2 = 2 so r = −3. Thus f(x) = (x − 7)(x + 3), and f(2) = 5·(−5) = −25, matching the vertex.
Reason: If one root is 7 and the vertex x-coordinate is 2, the other root r satisfies (7 + r)/2 = 2 so r = −3. Thus f(x) = (x − 7)(x + 3), and f(2) = 5·(−5) = −25, matching the vertex.
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