Transforming Exponential Functions

The graph of $y=2^x+3$   looks like the graph of the parent function  $y=2^x$  shifted ...

• up 3 units

• down 3 units

• 3 units in the negative x direction (left)

• 3 units in the positive x direction (right)

Tags

CCSS.HSF.BF.B.3

The graph of  $y=2^{\left(x-6\right)}$  looks like the graph of the parent function  $y=2^x$  shifted ...

• up 6 units

• down 6 units

• 6 units in the negative x direction (left)

• 6 units in the positive x direction (right)

Tags

CCSS.HSF.BF.B.3

The graphs of  $y=2^x$  and  $y=2^x+k$  are shown.  What must the value of  $k$  be?

• 2

• -2

• 5

• -5

Tags

CCSS.HSF-IF.C.7E

The graphs of  $y=2^x$  and  $y=2^{\left(x-h\right)}$  are shown.  What must the value of  $h$  be?

• 2

• -2

• 4

• -4

Tags

CCSS.HSF-IF.C.7E

Which function grows faster?

• f(x) = 2.5^x

• g(x) = 3^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 shrink

• reflection

• reflection and vertical shrink

Tags

CCSS.HSF.BF.B.3

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

• vertical stretch

• vertical shrink

• reflection

• reflection and vertical stretch