Which system of equations is represented by the graph?
a. y = x2 − 5x − 3
6x − y = −27
b. y = x2 − 5x + 3
6x − y = 27
c. y = x2 + 5x + 3
6x + y = −27
d. y = x2 + 5x − 3
6x + y = 27

The correct option is C.

Step-by-step explanation:

The vertex form of a parabola is

             .... (1)

Where, (h,k) is vertex.

From the given figure it is clear that the vertex of the parabola is at (-2.5, -3.25) and the y-intercept is (0,3).

Substitute h=-2.5, k=-3.25, x=0 and y=3 in equation (1) to find the value of a.

Divide both sides by 6.25.

Substitute h=-2.5, k=-3.25 and a=1 in equation (1), to find the equation of parabola.

The equation of parabola is .

If a line passes through two points then the equation of line is

The line passes through two points (-6,9) and (-5,3).

Add 9 on both the sides.

The equation of line is y=-6x-27.

Therefore the correct option is C.

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.