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3 years ago

Complete the square to find the vertex of this parabola.PLEASE HELP!!

Mathematics

1 answer:

Paladinen [302]3 years ago

4 0

Answer:

(1, 5 )

Step-by-step explanation:

Given

x² - 2x + y - 4 = 0 ( add 4 to both sides )

x² - 2x + y = 4

Complete the square on x² - 2x

add ( half the coefficient of the x term )² to both sides

x² + 2(- 1)x + 1 + y = 4 + 1, that is

(x - 1)² + y = 5

Subtract (x - 1)² from both sides

y = - (x - 1)² + 5

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

y = - (x - 1)² + 5 ← is in vertex form

with vertex = (1, 5 )

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Step-by-step explanation:

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