Question

Graph the following linear equations f(x) = x g(x) = (x + 2) -3 2(h(x)); h(x) = x-1 (Multiply the entire function by 2 before graphing) d(x) = 1/2x +2 Describe in words the following transformations f(x) —›g(x) f(x) —›h(x) f(x) —›d(x)

Answer 1

The graphs are attached.

f(x) to g(x) is translated 2 left and down 3.
f(x) to h(x) is shrunk by a factor of 2 and translated down 2.
f(x) to d(x) is stretched by a factor of 1/2 and translated up 2.

A number added to x inside parentheses shifts the graph left or right. A number added to the end of the function shifts the graph up or down. A number in front of x that is larger than 1 shrinks the graph, and a number in front of x that is smaller than 1 stretches the graph.