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39 votes
39 votes
2. Find the turning point of y = x² + 4x - 3 by completing the square.

User Sergey Beryozkin
by
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1 Answer

13 votes
13 votes

Answer:

turning point = (- 2, - 7 )

Explanation:

the vertex form of a parabola is

y = a(x - h)² + k

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

given

y = x² + 4x - 3

to complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

y = x² + 2(2)x + 4 - 4 - 3

y = (x + 2)² - 7 ← in vertex form

with turning point (- 2, - 7 )

User Richard Critten
by
2.7k points