4. Graphing Trigonometric Functions

In Exercises 14–15, use the method of adding y-coordinates to graph each function for 0 ≤ x ≤ 2π.y = sin x + cos 1/2 x

Graph each function. See Examples 1 and 2.ƒ(x) = 3|x|

In Exercises 17–30, determine the amplitude, period, and phase shift of each function. Then graph one period of the function.y = sin(x − π)

Graph each function. See Examples 1 and 2.ƒ(x) = ⅔ |x|

Graph each function. See Examples 1 and 2.g(x) = 2x²

In Exercises 17–30, determine the amplitude, period, and phase shift of each function. Then graph one period of the function.y = 3 sin(2x − π)

Graph each function. See Examples 1 and 2.g(x) = ½ x²

In Exercises 17–30, determine the amplitude, period, and phase shift of each function. Then graph one period of the function.y = 1/2 sin(x + π/2)

Graph each function. See Examples 1 and 2.ƒ(x) = -½ x²

In Exercises 17–30, determine the amplitude, period, and phase shift of each function. Then graph one period of the function.y = −2 sin(2x + π/2)

Graph each function. See Examples 1 and 2.ƒ(x) = -3|x|

Graph each function. See Examples 1 and 2.h(x) = |-½ x|

Graph each function. See Examples 1 and 2.h(x) = √4x

Graph each function. See Examples 1 and 2.ƒ(x) = -√-x

Concept Check Plot each point, and then plot the points that are symmetric to the given point with point with respect to the (a) x-axis(5, -3)