What system of equations does this graph represent? a) y = x^2 - 5 y = -x + 1 b) y = x^2 - 5 y = -x - 1 c) y = x^2 + 5 y = -x + 1 d) y = x^2 + 5 y = -x - 1

Option A. y = x² - 5

                y = -x + 1

Step-by-step explanation:

There are two equations in this system one of a parabola and second one of a straight line.

Since parent function of a parabola f(x) = x² has shifting of (-5) downwards on y axis so equation of the parabola will be y = x² - 5

and other one is a straight line passing through two points (2, -1) and (-3, 4)

Therefore slope of the line will be =

Slope = (-1) and y intercept = 1

Therefor equation of the line is y = -x +1