Question 1:

Let g(x) be the transformation of f(x) = |x| up 3 units. Identify the rule for g(x) and its graph.

g(x) = |x| + 3

Question 2:

Let g(x) be the transformation of f(x) = |x| right 2 units. Identify the rule for g(x) and its graph.

Question 3:

Let g(x) be the transformation of f(x) = |x| such that the vertex is at (2, 5). Identify the rule forg(x) and its graph.

g(x) = |x − 2| + 5

Question 4

Let g(x) be the indicated transformation of f(x) = |3x| + 4. Stretch the graph of f(x) = |3x| + 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).

Question 5

Let g(x) be the indicated transformation of f(x) = |2x| − 5. Compress the graph of f(x) = |2x| − 5 horizontally by a factor of 1/4 and reflect it across the x-axis. Identify the rule and graph of g(x).