MATH SOLVE

2 months ago

Q:
# Please help 15 pointsHow are the functions y = x and y = x - 3 related? How are their graphs related? A. Each output for y = x - 3 is 3 more than the corresponding output for y=x.The graph of y = x - 3 is the graph of y = x translated down 3 units.B. Each output for y = x-3 is 3 more than the corresponding output for y = x.The graph of y = x - 3 is the graph of y = x translated up 3 units.C. Each output for y = x - 3 is 3 less than the corresponding output for y = x.The graph of y = x - 3 is the graph of y = x translated down 3 units.D. Each output for y = x-3 is 3 less than the corresponding output for y=x.The graph of y = x - 3 is the graph of y = x translated up 3 units.

Accepted Solution

A:

Answer: CStep-by-step explanation: Because The graph of y = x - 3 is a translation of y = x by three units down, every x-coordinates on the equation y = x is to be decreased by 3 units. Also, It is y=x-3 so the answers B and D are eliminated since they say it is translated upwards. Also, since it is x-3 it is less than the output of y=x, so A is eliminated. The only option left is C.