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Arlecino [84]
3 years ago
15

W(n)=n-1; find w-(4)

Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:5

Step-by-step explanation:

w(n)=4-1

=5

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Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s
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Answer:

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Step-by-step explanation:

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f(x)=a((x-h)^2+k) (1)

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h is the x-coordinate of the vertex of the parabola

ak is the y-coordinate of the vertex of the parabola

a is a scale factor

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h=4 (2)

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Into eq.(4) and find the value of k:

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a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}

So the equation of the parabola is:

f(x)=\frac{1}{2}((x-4)^2 -6) (5)

Now we want to rewrite it in the standard form, i.e. in the form

f(x)=ax^2+bx+c

To do that, we simply rewrite (5) expliciting the various terms, we find:

f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5

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