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krek1111 [17]
3 years ago
12

A parabola has its vertex at (2, 1) and crosses the x-axis at (1,0) anu al l

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 1), thus

y = a(x - 2)² + 1

To find a substitute (1, 0) into the equation

0 = a(1 - 2)² + 1

0 = a + 1 ( subtract 1 from both sides )

a = - 1

Hence

y = - (x - 2)² + 1 or

y = 1 - (x - 2)² → A

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