Free Printable properties of exponential function

1.

For $y=a\left(b\right)^x+k$ , how does adding a constant transform the parent function?

a)

Horizontal shift

b)

Vertical Shift

c)

Reflection over the x-axis

d)

Reflection over the y-axis

2.

How has the function $7\left(3\right)^x-5$ been transformed from the parent function $7\left(3\right)^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

3.

How has the function $-5\left(3\right)^x$ been transformed from the parent function $5\left(3\right)^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

4.

How has the function $y=7\left(3\right)^x-5$ been transformed from the parent function $y=7\left(3\right)^x$ ?

a)

Translated up 5

b)

Translated down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

5.

$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$
What transformation has taken place from the parent function to g(x)

a)

Vertical Stretch

b)

Vertical Compression

c)

Translation up 5 units

d)

Reflection across the x-axis

6.

$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=0.2\left(3\right)^x$
What transformation has taken place from the parent function to g(x)

a)

Vertical Stretch

b)

Vertical Compression

c)

Translation up 5 units

d)

Reflection across the x-axis

properties of exponential function

Total questions: 6

Worksheet time: 3mins

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