3. Functions

In Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = -f(x)+1

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

In Exercises 17-32, use the graph of y = f(x) to graph each function g.

g(x) = ½ f(x)

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

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

In Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = f(x)+2

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

In Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = f(x+2)

Plot each point, and then plot the points that are symmetric to the given point with respect to the (a) x-axis, (b) y-axis, and (c) origin. (5, -3)

In Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = -(1/2)f(x+2)

Plot each point, and then plot the points that are symmetric to the given point with respect to the (a) x-axis, (b) y-axis, and (c) origin. (-4, -2)

In Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = -½ ƒ ( x + 2) —2

In Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = (1/2)f(2x)

Without graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. See Examples 3 and 4. y=x^2+5

In Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x) = -f(x-1) + 1