Page 824 - Algebra 1

L E S S O N Graphing and Comparing Linear, Quadratic,
119
and Exponential Functions
Warm Up
1. Vocabulary The highest or lowest point (turning point) on a parabola is
(89)
called the of the parabola.
2. Find the axis of symmetry for the graph of y = 2x2 + 8x + 2.
(89)
Determine the slope and the y-intercept of each equation. 3. y = 0.5x - 3.5 4. -8x + 2y = 10
(49) (49)
5. Multiple Choice Which is the zero of the function y = x2 + x - 2 ?
(89) A x = 2 B x = -2 C x = -1 D x = 3
A function family is a set of functions whose graphs have similar characteristics. A function family can be formed through transformations of one function, called the parent function. Transformations of the parent function can cause the graph of the function to move vertically or horizontally, be stretched or compressed, or be reflected across an axis.
The following chart gives three examples of parent functions, along with the characteristics of each parent function. Those characteristics can be helpful in identifying functions within that family.
New Concepts
Math Reasoning
Write In your own words, describe a parent function.
Linear Function
Quadratic Function
Exponential Function
Parent Function
f f ( (x x) ) = = x x
f f ( ( x x ) ) = = x x2 2
f ( x ) = b x
Graph
y
y
y
x
x
x
Domain
real numbers
real numbers
real numbers
Range
real numbers
real numbers ≥ 0
real numbers > 0
Maximum/ Minimum
none
vertex
none
Rate of Change
constant
not constant
not constant
Online Connection www.SaxonMathResources.com
Lesson 119 809