If c is a positive integer, how does the graph of y=x+c compare to the graph of y=x?
1 answer:
Answer:
It is shifted c units to the left .
Step-by-step explanation:
In general, adding a constant c to the value of x shifts a graph c units to the left.
The graph of y = x + c is parallel to y = x, the y-intercept becomes (0, c) and the x-intercept becomes (-c, 0).
In the diagram below, the red line is the graph of y = x, and the blue line is the graph of y = x + 1.
You might be interested in
Step-by-step explanation:
A transformation(s) of a parent function is
where a is vertical compression/stretched or reflection
B is horinzotnal compression/stretch or reflection
C is horinzontal translation
D is vertical translation.
The parent function is
First, we stretched this by 7
so we have
We need to shift this 12 units to the left so we have
We need to reflect this across x axis so we get
We need to shift this downwards 15 so we get
or because tan is a odd function you could say