Transforming Graphs of 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  $y=4^x-2$  looks like the graph of the parent function  $y=4^x$  shifted ...

• up 2 units

• down 2 units

• 2 units in the negative x direction (left)

• 2 units in the positive x direction (right)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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 graph of  $y=3^{\left(x+1\right)}$  looks like the graph of the parent function  $y=3^x$  shifted ...

• up one unit

• down one unit

• one unit in the negative x direction (left)

• one unit in the positive x direction (right)

Tags

CCSS.HSF.BF.B.3

The graph of  $y=-5^x$  looks like the graph of the parent function  $y=5^x$  ...

• reflected over the Y axis

• reflected over the X axis

• shifted up 5 units

• shifted down 5 units

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

• 2

• -2

• 1

• -1

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?

• 3

• -3

• 7

• -7

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

The graph of the function  $y=2^{\left(x-3\right)}+4$  will look like the graph of the parent function  $y=2^x$  shifted

• 4 units in the negative x direction (left), and 3 units down

• 3 units in the negative x direction (left), and 4 units down

• 4 units in the positive x direction (right), and 3 units up

• 3 units in the positive x direction (right), and 4 units up

Tags

CCSS.HSF-IF.C.7E