What is the vertex of this parabola? y= 2x² + 4x +5

Mathematics

1 answer:

uranmaximum [27]3 years ago

6 0

Answer:

vertex = (- 1, 3 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

y = 2x² + 4x + 5 ← is in standard form

with a = 2, b = 4, then

$x_{vertex}$ = - $\frac{4}{4}$ = - 1

Substitute x = - 1 into the equation for corresponding value of y, that is

y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3

vertex = (- 1, 3 )

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Answer:

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Step-by-step explanation:

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