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Anestetic [448]
3 years ago
13

Which of the following input-output tables represents the function graphed below?

Mathematics
1 answer:
Effectus [21]3 years ago
4 0

Answer:

The function that represents the graph is y = -2 + \frac{1}{2}\cdot x^{2}.

Step-by-step explanation:

The graphic represents a vertical parabola, whose standard equation is:

y-k = C\cdot (x-h)^{2}

Where:

x - Independent variable, dimensionless.

y - Depedent variable, dimensionless.

h - Horizontal component of the vertex, dimensionless.

k - Vertical component of the vertex, dimensionless.

C - Vertex constant, dimensionless. Where C > 0 when vertex is an absolute minimum, otherwise it is an absolute maximum.

According to the figure, vertex is located in (0, -2). Now we determine the vertex constant by using the following values in the standard equation:

x = -2, y = 0, h = 0, k = -2

C = \frac{y-k}{(x-h)^{2}}

C = \frac{0-(-2)}{(-2-0)^{2}}

C = \frac{2}{4}

C = \frac{1}{2}

The function that represents the graph is y = -2 + \frac{1}{2}\cdot x^{2}.

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