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Olenka [21]
2 years ago
5

The graph of f(x) = 2x^2 − 3x + 5 will be translated 8 units down, producing the graph of q(x). What equation represents the new

function, q(x)?
Help me pls
Mathematics
1 answer:
Fed [463]2 years ago
4 0

q(x=f(x-h+k

here, h=0, k=-8, so

to translate f(x) 8 units down, we have

q(x)=f(x-0)-8

=2x^2-3x+5-8

=2x^2-3x-3

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Answer:

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6x - 2 = x + 13

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2 years ago
Read 2 more answers
What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Radda [10]

Answer:

second option

Step-by-step explanation:

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x^{4} + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

(u + 1)(u + 5) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

x² = - 1 ( take the square root of both sides )

x = ± \sqrt{-1} = ± i ( noting that \sqrt{-1} = i ), and

x² = - 5 ( take the square root of both sides )

x = ± \sqrt{-5} = ± \sqrt{5(-1)} = ± \sqrt{5} × \sqrt{-1} = ± i\sqrt{5}

Solutions are x = ± i and x = ± i\sqrt{5}

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2 years ago
What’s the volume of a cylinder with a radius of 6ft and height of 14ft? pls show work
Daniel [21]

Answer:

<em><u>Given </u></em><em><u>-</u></em>

  • <em><u>radius </u></em><em><u>of </u></em><em><u>cylinder </u></em><em><u>=</u></em><em><u> </u></em><em><u>6</u></em><em><u> </u></em><em><u>ft</u></em>
  • <em><u>height </u></em><em><u>of </u></em><em><u>cylinder </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>4</u></em><em><u> </u></em><em><u>ft</u></em>

Now ,

volume = \pi \: r {}^{2} h \\  =  >  \frac{22}{\cancel{7}}  \times 6 \times\cancel{ 14} \\  \\  =  > 22 \times 6 \times 2 \\  =  > 264 \: ft {}^{3}

hope helpful~

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