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Feliz [49]
3 years ago
5

What is the function y=2(x-4)^2-2 written in standard form

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

y = 2(x - 4) {}^{2}  - 2 \\ y = 2x {}^{2}  - 8 {}^{2}  - 2 \\ y =  {2x}^{2}  - (8 \times 8) - 2 \\ y =  {2x}^{2}  - 64 - 2 \\ y =  {2x}^{2}  - 66 \\  \\

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Answer:

x = 4 + sqrt(5) or x = 4 - sqrt(5)

Step-by-step explanation:

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Add 4 to both sides:

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Answer:

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Step-by-step explanation:

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f(t)=-4.9t^2+20t

Models the relationship between the height of the rocket and the time after launch t in seconds.

Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:

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In this case, a = -4.9, b = 20, and c = 0. Thus:

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Further Notes:

Then the maximum height of the rocket will be f(10/4.9):

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