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avanturin [10]
3 years ago
14

Which function has a vertex at (2, –9)? f(x) = –(x – 3)2 f(x) = (x + 8)2 f(x) = (x – 5)(x + 1) f(x) = –(x – 1)(x – 5

Mathematics
2 answers:
Gnom [1K]3 years ago
6 0

Answer:

the answer is C

Step-by-step explanation:

on edgenuty i just clicked C

Tanzania [10]3 years ago
3 0
The answer is C. f(x) = (x -5)(x +1)
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A curve has equation y=x√x.find the equation of the tangent to the curve at the point(1, 5)
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Answer:

y - 5 = \frac{3}{2}(x - 1)

Step-by-step explanation:

Note that \frac{dy}{dx} = m_{tangent}

Differentiate using the power rule

\frac{d}{dx}(ax^{n}) = nax^{n-1}

Given

y = x\sqrt{x} = x. x^{\frac{1}{2} } = x^{\frac{3}{2} }, then

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When x = 1

\frac{dy}{dx} = \frac{3}{2} . 1 = \frac{3}{2}

The equation of a line in point- slope form is

y - b = m(x - a)

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Here m = \frac{3}{2} and (a, b) = (1, 5), thus

y - 5 = \frac{3}{2}(x - 1) ← equation of tangent

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svetlana [45]
Quadrant I is the answer. Both are positive coordinates
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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