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Nuetrik [128]
2 years ago
9

HELP ASAP PLEASE AND SHOW WORK!!!

Mathematics
1 answer:
Valentin [98]2 years ago
4 0

Answer:

<h3>             f(x) = 2(x - 6)² - 3 </h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   ← vertex form of parabola equation with vertex (h, k)

So:

f(x) = a(x - 6)² + (-3)

f(x) = a(x - 6)² - 3      ←  vertex form of our parabola equation

Parabola goes through (8, 5) so if x=8 then f(x)=5

5 = a(8-6)² - 3

5 +3 = a(2)² - 3  +3

8 = 4a

a = 2

That means, the equation of a parabola with vertex (6, -3) and passing through the point (8, 5):

                                         f(x) = 2(x - 6)² - 3

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Step-by-step explanation:

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3 years ago
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