Use the graph of the function y = –x2 + 2x + 8 to determine the solutions of the quadratic equation

Question

0 = –x2 + 2x + 8.



What are the solutions of the quadratic equation
0 = –x2 + 2x + 8?

–4 and 2
–2 and 8
–2 and 4
4 and 8

Answer 1

To determine the solutions of the quadratic equation -x^2 + 2x + 8 = 0, we can look at the graph of the function y = -x^2 + 2x + 8.

The graph of the function is a downward facing parabola that intersects the x-axis at the points -4 and 2. These are the x-values where the function crosses the x-axis, which correspond to the solutions of the quadratic equation.

Therefore, the solutions of the quadratic equation -x^2 + 2x + 8 = 0 are -4 and 2.