How is the function shown below related to y=x? graph the function by translating the parent function. y=x+7 a. each output of y=x+7 is one-seventh the corresponding output for y=x. b. each output of y=x+7 is seven more than the corresponding output for y=x. c. each output of y=x+7 is seven times the corresponding output for y=x. d. each output of y=x+7 is seven less than the corresponding output for y=x.

Parent function: y = x.

Translated function : y= x+7.

We can see that 7 is added to the given parent fuction to get translated function.

We know, f(x) = y + k, if k is a negative number, the graph would shift down and if k is a positive number, the graph would shift up.

Because 7 is added and it is a positive number, parent graph will shift 7 units up.

First we need to plot a graph for parent function y=x.

Then we will move each and every y-coordinate 7 units up ( only y-coodinates will change).

And because it's just addition of 7, it would be 7 more and correct option would be option B.

B. Each output of y=x+7 is seven more than the corresponding output for y=x.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.