Question

1. How are the functions y = x and y = x - 3 related? How are their graphs related? (1 point)

Answer 1

Answer:

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 ⇒ 3rd

answer

Step-by-step explanation:

- If the function f(x) translated vertically down  by k units, then the image

  of the function is g(x) = f(x) – k

- Remember: x is the input and y is the output of the function

∵ y = x

∵ y = x - 3

- That means the output of the first function (y) is subtracted by 3

∴ y = x is the parent function of y = x - 3

∴  y = x - 3 is the image of the function y = x by translation

   3 units down

* Each value of y in the function y = x - 3 is 3 less than

  the value of corresponding y in the function y = x

∵ The graph of the function y = x passing through the origin point (0 , 0)

- When we subtract from the y-coordinate of the origin 3 the new point

  will be (0 , -3)

∴ The graph of the function y = x -3 intersect the y-axis at point (0 , -3)

* The graph of y = x - 3 is the graph of y = x translated 3 units down

The answer is:

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.