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?