A2 changes to parents

How do the given equa0ons differ from their parent func0ons?

PARENT FUNCTIONS

f (x)

a

f (x)

Constant

f (x)

x2

a

x

Exponential

f (x)

f (x)

Linear

Quadratic

f (x)

x

sin x

f (x)

x3

f (x)

x

f (x)

Logarithmic

1 x

f (x)

cos x

x

3

x

Cube Root

f (x)

Reciprocal

Trigonometric Functions

int x

Greatest Integer

Square Root

log a x

f (x)

f (x)

Absolute Value

Cubic

f (x)

x

x2

1

x

2

x

1

x

2

Rational

f (x)

tan x

How does the given func0on differ from its parent func0on?

2

f (x) = 2(x − 3) + 5

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

2

f (x) = 2(x − 3) + 5

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

2

f (x) = 2(x − 3) + 5

Graph the given func0on.

Determine the parent func0on Quadra0c f(x)=x2 Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

2

f (x) = 2(x − 3) + 5

Graph the given func0on.

Determine the parent func0on Quadra0c f(x)=x2 Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

2

f (x) = 2(x − 3) + 5

Graph the given func0on.

Determine the parent func0on Quadra0c f(x)=x2 Is the given func0on translated le> or right? to the right 3 units Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

2

f (x) = 2(x − 3) + 5

Graph the given func0on.

Determine the parent func0on Quadra0c f(x)=x2 Is the given func0on translated le> or right? to the right 3 units Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

2

f (x) = 2(x − 3) + 5

Graph the given func0on.

Determine the parent func0on Quadra0c f(x)=x2 Is the given func0on translated le> or right? to the right 3 units Is the given func0on translated up or down? up 5 units Is the func0on dilated?

How does the given func0on differ from its parent func0on?

2

f (x) = 2(x − 3) + 5

Graph the given func0on.

Determine the parent func0on Quadra0c f(x)=x2 Is the given func0on translated le> or right? to the right 3 units Is the given func0on translated up or down? up 5 units Is the func0on dilated?

How does the given func0on differ from its parent func0on?

2

f (x) = 2(x − 3) + 5

Graph the given func0on.

Determine the parent func0on Quadra0c f(x)=x2 Is the given func0on translated le> or right? to the right 3 units Is the given func0on translated up or down? up 5 units Is the func0on dilated? the func0on is narrower

How does the given func0on differ from its parent func0on?

1 2 f (x) = (x + 4) − 3 2

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

1 f (x) = (x + 5) − 2 3

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

f (x) = 4 (x + 2) − 7

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

f (x) = x + 4 − 2

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

f (x) = 2 x + 3 + 4

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on? x

f (x) = 2 + 4

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

1 x f (x) = ( ) + 2 4

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

f (x) = 5

x+3

−2

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

f (x) = log10 x − 2

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

f (x) = log10 x + 2

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on? x

f (x) = 0.4 + 2

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?

How does the given func0on differ from its parent func0on?

f (x) = 0.7

x−3

+4

Graph the given func0on.

Determine the parent func0on Is the given func0on translated le> or right?

Is the given func0on translated up or down?

Is the func0on dilated?