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3 years ago

I need a little extra help with number three

Mathematics

1 answer:

diamong [38]3 years ago

6 0

Answer:

The answer to your question is:

Step-by-step explanation:

Data

f(x) = -2x² + 8x - 2

Process

-2x² + 8x = y + 2

-2(x² - 4x + 4) = y + 2 - 8

-2(x - 2)² = y - 6

(x - 2)² = 1/2 (y - 6)

Vertex = (2, 6)

Axis of symmetry = x = 2

y-intercept

f(0) = -2(0)² + 8(0) - 2

f(0) = 0 + 0 - 2

f(0) = -2

Domain (-∞, ∞)

Range (-∞, 6]

See the graph below

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Find the equation of the axis of symmetry of the following parabola algebraically.

mr Goodwill [35]

Answer:

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Step-by-step explanation:

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3 years ago

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madreJ [45]

Answer:

Step-by-step explanation:

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3 years ago

Please help me!!!!!!! :)

Lilit [14]

Hello there!

The answer is C.

I will explain to you how I came to this answer.

•First of all, I counted the turning points. There are two, so that means this polynomial function has THREE roots. (# of turning points+1=number of roots.)

•Next, look to see how many times the function crosses the x-axis. This is the number of REAL solutions. In this case, there is one point at which the f(x) is crossing the x-axis so there is one real solution.

•Since there is one real solution there has to be 2 imaginary roots. (Total # of solutions-real solutions=imaginary solutions)

NOTE: the turning points are where the increasing intervals change to decreasing and the decreasing change to increasing. The first derivative at these points is 0.

I hope this helps!
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