a2 changes to parents

How do the given equa0ons differ from their parent func0ons?

PARENT FUNCTIONS

f (x) a f (x) x f (x) x � � > @f (x) int x x Constant Linear Absolute Value Greatest Integer

2f (x) x 3f (x) x f (x) x 3f (x) x Quadratic Cubic Square Root Cube Root

xf (x) a af (x) log x 1

f (x)x

� � � ��

2x 1 x 2f (x)

x 1 x 2

� �

� �

Exponential Logarithmic Reciprocal Rational

f (x) sin x f (x) cos x f (x) tan x Trigonometric Functions

How does the given func0on differ from its parent func0on?

f (x) = 2(x −3)2 + 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?


f (x) = 2(x −3)2 + 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?


f (x) = 2(x −3)2 + 5


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?


f (x) = 2(x −3)2 + 5



Is the given func0on translated up or down? up 5 units

Is the func0on dilated?


f (x) = 2(x −3)2 + 5



Is the given func0on translated up or down? up 5 units

Is the func0on dilated? the func0on is narrower


f (x) = 12(x + 4)2 −3



f (x) = 13(x + 5) − 2



f (x) = 4 (x + 2) − 7



f (x) = x + 4 − 2



f (x) = 2 x +3 + 4



f (x) = 2x + 4



f (x) = (14)x + 2



f (x) = 5x+3 − 2



f (x) = log10 x − 2



f (x) = log10 x + 2



f (x) = 0.4x + 2



f (x) = 0.7x−3 + 4


a2 changes to parents

Documents