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ASHA 777 [7]
3 years ago
10

Complete the general form equation of the parabola that passes through (4, -11) with vertex at : (2, -3).

Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

Step-by-step explanation:

You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation

y=a(x-h)^2+k and solve for a. Filling in:

-11=a(4-2)^2-3 which simplifies a bit to

-11=a(2)^2-3 and a bit more to

-11=4a-3. Add 3 to both sides to get

-8 = 4a so

a = -2

The equation, then, is

y=-2(x-2)^2-3

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