Question

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answer 1

Part A

f(x) has moved 2 units to the left,

⇒ g(x) = f(x + 2)

f(x) has moved 10 units up,

⇒ g(x) = f(x) + 10

Part B

**There is no reference to k in the question or graph**

f(x) = 5x - 2

⇒ g(x) = 5(x + 2) - 2 = 5x + 8

⇒ g(x) = 5x - 2 + 10 = 5x + 8

Part C

g(x) = f(x + 2)

g(x) = f(x) + 10