Question

Which system of equations does this graph represent?

Linear graph and parabola. They intersect at negative 3, negative 7 and 2, negative 2

y = x2 − 2
y = −x − 4

 

y = x2 + 2
y = x + 4  

y = −x2 + 2
y = x − 4  

y = −x2 − 2
y = x − 4

Answer 1

The answer c. y = -x^2+2

y = x-4

Answer 2

Equation of the linear graph is given by: (y - (-7))/(x - (-3)) = (-2 - (-7))/(2 - (-3)) (y + 7)/(x + 3) = (-2 + 7)/(2 + 3) = 5/5 = 1
y + 7 = x + 3
y = x - 4

Also, for the parabola: -(3)^2 + 2 = -9 + 2 = -7
Therefore solution is:
y = -x^2 + 2
y = x - 4