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Nana76 [90]
3 years ago
14

If h(x)=x2-5+7. h(2)

latex-formula">
​
Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0
The way to solve this is by re-writing the equation except with 2 as x.
h(x)= x^2-5+7
h(2)= 2^2-5+7
h(2)=4-5+7
h(2)=-1+7
h(2)= 6
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Answer:

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If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

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  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
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∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

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→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

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→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

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c= \pi d

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d= 22 \ cm

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We also know we are using 3.14 for pi. Substitute it in for pi.

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Multiply.

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g100num [7]

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