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Lostsunrise [7]
3 years ago
11

Write the equation of the parabola in vertex form that has the following properties: passes through the point (2, 12) and has a

vertex of (4,-4)​
Mathematics
1 answer:
tatuchka [14]3 years ago
4 0

Answer:

<h3>              f(x) = 4(x - 4)² - 4  </h3>

Step-by-step explanation:

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

so the equation of parabola with the vertex (4, -4) is

f(x) = a(x - 4)² - 4  

passes through the point (2, 12)  means if x=2 then f(x)=12

12 = a(2 - 4)² - 4  

12 +4 = a(-2)² - 4 +4

16 = 4a

a = 4

Therefore the equation (in vertex form) of parabla is:

                                 <u> f(x) = 4(x - 4)² - 4  </u>

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