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A quadratic is written as f(x) = -3(x - 4) squared + 7. Where is its vertex?
AAt (-4, 7)
BAt (4, 7)
CAt (4, -7)
DAt (7, 4)
Answer & Solution
Correct answer: B. At (4, 7)
1. Standard form for a quadratic is a times (x minus h) squared plus k, and (h, k) is the vertex.
2. Matching gives h equal to 4 and k equal to 7.
3. So the vertex sits at (4, 7).
4. Reading the sign inside the bracket as the sign of h would wrongly give negative 4.
_Source: OpenStax Precalculus (CC BY 4.0), section 3.2 Quadratic Functions_