3. Functions

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

In Exercises 60–63, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. r(x) = -(x + 1)²

Begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. g(x) = 2√(x+1)

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

g(x) = ½ f(x)

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

In Exercises 55–59, use the graph of to graph each function g.

g(x) = f(x + 2) + 3

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

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

Begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. h(x) = x³/2

Begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. h(x)=√(-x+1)

Begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. -∛(x+2)

Use the graph of y = f(x) to graph each function g. g(x) = f(x-1) – 1

In Exercises 67–69, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. r(x) = (1/2) |x + 2|

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

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) = -(1/2)f(x+2)