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.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

a

step-by-step explanation: