Problema Solution

Write the equation for the graph of function g(x), obtained by shifting the graph of f (x) = |x| in the following ways:

a. two units right

b. stretching the graph vertically by a factor of two

c. reflecting that result over the y-axis

d. translating the graph down four units

e. Combine all four transformations from a-d into one equation, then evaluate g (-1)

Answer provided by our tutors

a. two units right

g(x)= |x+2| 

 

b. stretching the graph vertically by a factor of two

g(x)=| x| +2

c. reflecting that result over the y-axis

g(x)= -|x|

d. translating the graph down four units

g(x)=|x |-4