3. Functions

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

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. x^2+y^2=12

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

In Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x)=2f(x-1)

In Exercises 53-66, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. g(x) = x² - 2