Question

Fran graphs the equations y = 2x2 – 2 and y = –0.5x + 4. Her graph is shown below.

Which value is an approximate solution of 2x2 – 2 = –0.5x + 4?

Answer 1

x = -2 is an approximate solution of 2x2 – 2 = –0.5x + 4.

Explanation:

Answer 2

The graph of the functio 2x^2 - 2 is a parabole.

The graph of the function - 0.5x + 4 is a straight line.

The solutions of 2x^2 - 2 = -0.5x + 4 are the points where the graphs intercept each other.

That happens at two points. They are:

(1.6, 3.2) and (-1.9, 4.9)


So, you can now choose the value of your list of choices that is close to one of those points.