Question

The dimensions of a triangle are represented by the functions shown. Which function represents the area of the triangle, ? h(x) = 12x2 + 6x h(x) = 12x2 – 6x h(x) = 24x2 – 12x h(x) = 12x – 6

Answer 1

B. g(x) = 12x2 – 6x

Explanation:

correct on edge 2020

Answer 2

h(x) = 12x – 6

Explanation:

To know which is the function that represents the area of a triangle, you take into account the degree of the given polynomials.

If the degree is 2, the graph of the function is a parabola.

If the degree is 1, the graph of the function is a line.

By comparing all functions you can conclude that only the last option (h(x)=12-x-6) is convenient to construct a triangle. The y-intersect of the function is at y=-6, the slope is positive and the x-intersect is x=1/2. This forms a triangle in the fourth quadrant of the coordinate system.