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Ksenya-84 [330]
3 years ago
14

Identify the minimum value of the function y = 2x2 + 4x Answer

Mathematics
2 answers:
iren2701 [21]3 years ago
4 0

Answer:

(-1, -2)

Step-by-step explanation:

Find the <em>x</em>-value the minimum occurs at. Use this value to find the minimum value. (Graph to find the highest point)

11111nata11111 [884]3 years ago
4 0

Answer:

y = - 2 is the minimum value

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex.

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To find the zeros let y = 0, that is

2x² + 4x = 0 ← factor out 2x on the left side

2x(x + 2) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

x + 2 = 0 ⇒ x = - 2

midpoint = \frac{0-2}{2} = - 1 ← x- coordinate of vertex

Substitute x = - 1 into the equation for corresponding y- coordinate

y = 2(- 1)² + 4(- 1) = 2 - 4 = -2

vertex = (- 1, - 2)

Hence minimum value = - 2

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