To solve the problem we must know about quadratic equations.
The type of function best models the data shown on the scatterplot is a quadratic function.
Graph of a Parabolic function
- The graph of a quadratic function is a curve that is in the shape of a parabola.
- the highest point or the lowest point of the curve is known as the vertex of the parabola.
- The leading coefficient decides the opening of the parabola therefore if the leading coefficient is positive the parabola will open upside while downside if the leading coefficient is negative.
The example of a quadratic equation is given below in the image.
Data showed of the scatterplot
- As we can see the data on the scatter plot is also a parabolic shape with vertex at x = 4, and
- opening downwards, therefore the leading coefficient of the function is negative.
Hence, the type of function best models the data shown on the scatterplot is a quadratic function.
Learn more about Quadratic equations:
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