How do you solve x^2 + 6x + 8 = 0 graphically?

1 Answer
Mar 21, 2016

Make a graph of the parabola y = x^2+6x+8. The parabola cuts the x-axis at (x_1, 0) and (x_2, 0), giving solutions x=x_1,x_2.
.x_1 = -2 andx_2=-4.

Explanation:

The parabola for the rearranged equation (x+3)^2=y+1, has vertex at (-3, -1).It is in the 4th quadrant.

The axis of the parabola is x =-3, parallel to y-axis.

It will intersect x-axis at (-2, 0) and (-4, 0).