Question

What equation is graphed in this figure?

Answer 1

Its D I took the quiz

Answer 2

Answer:

C. y+2=−3(x−1)

Step-by-step explanation:

To know what is the equation graphed in the figure you should give values to x on the interval (-1,2) and solve for y.

Finally you should compare the obtained values with the graph. Note that you have the following points on the graph: (-1,4); (0,1); (1,2); (2,-5).

1. When x=-1

$A. y-4=-13(x+2)\\\\y-4=-13(-1+2)\\\\y-4=-13(1)\\\\y-4=-13\\\\y=-13+4\\\\y=-9$

(-1,9)

$B. y-3=13(x+1)\\\\y-3=13(-1+1)\\\\y-3=13(0)\\\\y-3=0\\\\y=3$

(-1,3)

$C. y+2=-3(x-1)\\\\y+2=-3(-1-1)\\\\y+2=-3(-2)\\\\y+2=6\\\\y=6-2\\\\y=4$

(-1,4)

$D. y-5=3(-1-1)\\\\y-5=3(-2)\\\\y-5=-6\\\\y=-6+5\\\\y=-1$

(-1,-1)

2. When x=0

$A. y-4=-13(x+2)\\\\y-4=-13(0+2)\\\\y-4=-13(2)\\\\y-4=-26\\\\y=-26+4\\\\y=-22$

(0,22)

$B. y-3=13(x+1)\\\\y-3=13(0+1)\\\\y-3=13(1)\\\\y-3=13\\\\y=13+3\\\\y=16$

(0,16)

$C. y+2=-3(x-1)\\\\y+2=-3(0-1)\\\\y+2=-3(-1)\\\\y+2=3\\\\y=3-2\\\\y=1$

(0,1)

$D. y-5=3(x-1)\\\\y-5=3(0-1)\\\\y-5=3(-1)\\\\y-5=-3\\\\y=-3+5\\\\y=2$

(0,2)

The equation C. y+2=−3(x−1) give the solution points (-1,4), and (0,1), therefore this equation is graphed in the figure.