Question

Which system of equations is represented by the graph?

a line is graphed through points negative 6 comma 9 and negative 5 comma 3. It intersects a parabola that opens up at these two points.
Courtesy of Texas Instruments

Answer 1

There are 2 ways we can answer this. The first one is by the given known coordinates we can make and get the equation. Next we can use the known coordinate and substitute it to the all given equations. It appears that only the third option is true after substituting the values. So the answer is C.

C. y = x^2 + 6x − 7
x − y = 1

Answer 2

C. y = x2 + 5x + 3

6x + y = −27

Explanation:

If the answers are as follows, and you have the same graph then the answer should be C.

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

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