Question

At what point(s) does the parabola,

y

=

x

2

−

2

, intersect the line,

y

=

−

x

Answer 1

Please check the formatting when posting. I'm assuming these are the equations:

y=x^2 - 2

y=−x

Explanation:

We can either graph the equations or solve them. I use graphing - see the attachment. The lines intersect at (-2, 2) and (1,-1)

1. Graphing

See attached graph

(-2, 2) and (1,-1) are the intersection points

2. Solving

y=x^2 - 2 Use y=−x in this equation:

-x = x^2 - 2

0 = x^2 + x - 2

0 = (x+2)(x-1)

x = -2 and +1

(-2, 2) and (1,-1) are the intersection points