Question

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

Answer 1

The answer to this question is a) y = x^2 - 5 and y = -x + 1.

If you look at the points, it is easy to find the answer based on the x and y intercepts. Hope this helps :)

Answer 2

Option A. y = x² - 5

y = -x + 1

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 =
`(y-y')/(x-x')=(4+1)/(-3-2)`

Slope = (-1) and y intercept = 1

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