A graph shows the horizontal axis numbered 2 to 8 and the vertical axis numbered 10 to 50. A line increases from 0 to 4 then decreases from 4 to 9. Which type of function best models the data shown on

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Answer:

quadratic

Step-by-step explanation:

The Quadratic function is the best models for the given graph.

What is quadratic function?

A quadratic function is a "polynomial function with one or more variable in which highest exponent of variable is two".

According to the question,

Horizontal axis or x-axis quadratic function of numbered 2-8 and vertical axis or y-axis quadratic function numbered to 10-50.

In order to find the best models function is quadratic function.

f(x) = ax²+bx+c   a < 0

Domain = All real numbers

Range y ≤ f(-[tex]\frac{b}{2a}[/tex])

Increases on left of x = -[tex]\frac{b}{2a}[/tex]

Decreases on right of x = -[tex]\frac{b}{2a}[/tex]

The vertex of the parabola lies on the axis of the parabola so the graph of the quadratic function increases on one side axis and decreases on the other side.

Learn more about quadratic function here

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