Families of Graphs

Question 1

If the blue graph shown below is y = f(x), what is the red graph?

Revolt · Accepted Answer

y = f(x) − 5

Question 2

The graph of y = f(x − 3) is a _____ of the graph of y = f(x).

Revolt · Accepted Answer

translation of 3 units to the right

Question 3

In which of the following functions is f(−x) = f(x)?

Revolt · Accepted Answer

y = x2

Question 4

The point (2, 4) is on the graph of f(x) = x2. What is the value of b if the point (0.5, 4) is on the graph of f(bx)?

Revolt · Accepted Answer

4

Question 5

If the point (1, 3) is on the graph of y = f(x), then what is the corresponding point on the graph of y = −2f(x)?

Revolt · Accepted Answer

(1, −6)

Families of Graphs Answers