15.5 Transforming Exponential Functions

Which function grows faster?

• f(x) = 2.5^x

• g(x) = 3^x

Which function grows faster?

• f(x) = 0.5^x

• g(x) = 0.7^x

The parent function f(x) = 0.5^x is transformed into the function g(x) = 0.7(0.5)^x. Describe the transformation.

• vertical stretch

• vertical compression

• reflection

• reflection and vertical compression

The parent function f(x) = 5^x is transformed into the function g(x) = -1.2(5)^x. Describe the transformation.

• vertical stretch

• vertical compression

• reflection

• reflection and vertical stretch

Using the parent function f(x) = 0.4^x, which function describes a transformation of f(x) moving up 5 units?

• f(x) = 0.4^x + 5

• f(x) = 0.4^x - 5

• f(x) = 5(0.4)^x

• f(x) = 0.4(5)^x

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Using the parent function f(x) = -2(1.5)^x, which function describes a transformation of f(x) moving down 2 units?

• f(x) = -2(1.5)^x + 2

• f(x) = -2(1.5)^x - 2

• f(x) = -2*2(1.5)^x

• f(x) = 1.5(-4)^x