how to graph thr trig function f(x)3x-180)+2

and the parent function?

first of all, this is not trig,

secondly your expression makes no sense.

To graph the trigonometric function f(x) = 3x - 180 + 2 and the parent function, let's break down the process step by step:

1. Understand the parent function: The parent function for all linear functions is y = mx + b, where "m" is the slope and "b" is the y-intercept. In this case, the parent function is y = 3x - 180 + 2.

2. Plot the y-intercept: To begin graphing the parent function, plot the y-intercept, which is the point where x = 0. In our case, y = 3(0) - 180 + 2 = -178. Therefore, the y-intercept is (0, -178).

3. Determine the slope: The slope represents the rate at which the y-values change with respect to the x-values. In our case, the slope is 3, indicating that for every unit increase in x, the y-value increases by 3.

4. Use the slope to find additional points: To find more points on the graph, apply the slope to the parent function. For example, if we increase x by 1 unit, the y-value increases by 3. Therefore, we can find another point by calculating y = 3(1) - 180 + 2 = -175. This gives us the point (1, -175).

5. Connect the points: Plot all the points you have obtained by substituting different x-values into the equation. Once all significant points are plotted, connect them with a straight line. In this case, you should plot at least two points to create a line.

As for graphing the function f(x) = 3x - 180 + 2, the steps are the same. The only difference is that the y-values will be shifted up by 2 units compared to the parent function. This means that all the plotted points from the parent function should be shifted upward by two units.

By following these steps, you will be able to graph both the trigonometric function f(x) = 3x - 180 + 2 and its parent function.