Question

Which of the following graphs represents the solution(s) of the following system?

x2 – y = –2
4y – 8 = x

Answer 1

4th one for common Core

Explanation:

Answer 2

We have the following system of equations:


`(1) \ x^2-y=-2 \\ (2) \ 4y-8=x`

The first equation is a parabola and the second one is a straight line. So if we isolate
`y` in each equation as follows:


`(1) \ y=x^2+2 \\ (2) \ y=(x)/(4)+2`

We can plot these two equations where the resulting graph is shown in the figure below that represents the solution of this system of equation.