Question

On a coordinate plane titled Area of Maya's Poster, a curved line with a minimum value of (1, negative 1) crosses the x-axis at (0, 0) and (2, 0), and the y-axis at (0, 0). The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determined by its length (x). Which describes what the point (2, 0) represents? The area is 2 if the length is 0. The area is 0 if the length is 2. The length is 2 if the width is 0. The width is 0 if the length is 2.

Answer 1

Answer:

The area is 0 if the length is 2. Or B

Step-by-step explanation:

Answer 2

The point (2,0) on the parabola best describes that the area of Maya's poster is 0 if the length is 2.

What is parabola?

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

By joining the points (0,0), (1,-1) and (2,0), we see that the Area of Maya's poster is described by a parabola along the y axis.

General equation of parabola along y axis: $x^{2} =4ay$.

When the minimum value is at (1,-1), equation becomes $(x-1)^{2} = 4a(y+1)$

To calculate the unknown constant, we put point (2,0) in the equation.

$(2-1)^{2} = 4a(0+1)\\\\a = 1/4$

Equation becomes: $(x-1)^{2} = (y+1)$

where, y = area of Maya's poster and x = length of poster.

When x = 2, y = 0.

This implies, when length is 2, area is 0.

Learn more about parabola here

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