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Rina8888 [55]
2 years ago
14

Write the equation of the graph below

Mathematics
1 answer:
Olenka [21]2 years ago
7 0

Answer:

Step-by-step explanation:

This is a parabola with a vertex at h = 4 and k = 5; the graph goes through the coordinate x = 6 and y = 6. We will use those 4 values to fill in the equation:

y=a(x-h)^2+k and this will allow us to solve for the value of a:

6=a(6-4)^2+5 and

6=a(2)^2+5 and

6 = 4a + 5 and

1 = 4a so

a=\frac{1}{4} and the equation is

y=\frac{1}{4}(x-4)^2+5

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