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.
