3. Functions

Use the graph of y = f(x) to graph each function g. g(x) = f(x + 1) − 2

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

Use the graph of y = f(x) to graph each function g. g(x) = f(-x)

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

Use the graph of y = f(x) to graph each function g.

g(x) = f(-x)+1

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|

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)

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

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)

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)