11. Match the following functions with their graphs.

a) f(x + 2), b) f(x - 2), c) f(x) + 2, d) f(x) - 2, e) f(2x), f) f(x/2), g) 2f(x), h) f(x)/2

Arithmetic inside the parentheses, with the variable, moves the graph horizontally backward

Arithmetic outside the parentheses moves the graph vertically forward

a) f(x + 2)

Adding 2 inside the parenthese moves the graph horizontally 2 units to the left.

b) f(x - 2)

Subtracting 2 inside the parentheses moves the graph horizontally 2 units to the right.

c) f(x) + 2

Adding 2 outside the parentheses moves the graph 2 units vertically upward.

d) f(x) - 2

Subtracting 2 outside the parentheses moves the graph 2 units vertically downward.

e) f(2x)

Multiplying by 2 inside the parentheses shrinks the graph by a factor of 2 horizontally.

f) f(x/2)

Dividing by 2 inside parentheses stretches the graph horizontally by a factor of 2

g) 2f(x)

Multiplying by 2 outside the parentheses stretches the graph vertically by a factor of 2.

h) f(x)/2

Dividing by 2 outside the parentheses shrinks the graph vertically by a factor of 2.