Transformations on Functions and Ordered Pairs

Which of the following statements are true about the function g(x)?  Select all that apply.

• The slope of the graph is -2.

• The function g(x) is an exponential function.

• When x increases by1, g(x) decreases by a factor of -2.

• The function can be represented by the equation g(x) = -2x.

• The function can be represented by the equation g(x) = -2x + 5.

A function passes through the points (–4, 48) and (–1, 6). Which equations could represent this function? Select TWO that apply.

• y = 14x -8

• y = -14x - 8

• f(x + 6)

• f(x - 3)

• f(x) - 3

• f(x + 2)

• f(x - 5)

The graph of g(x) is a
(a)   translation ​ (b)   units ​ ​ (c)   the graph.

• vertical

• 2

• 1

• up

• down

• left

• right

Rewrite g(x) in translation form g(x) = f(x) + k

​ (a)   ​ ​ (b)   ​ (c)   ​

• g(x)=

• f(x)

• -11

• 7

• 9

• +11

• f(x)=

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

The image shows a ​ (a)   translation ​ (b)   units ​ (c)  

• horizontal

• 4

• left

• vertical

• right

• 3

• up

Given the following, translate the graph seven left and two up!

Mathematical Equivalence

ON