Prentice Hall Algebra 2

Chapter 2 Functions, Equations, and Graphs > 2 Chapter Review

2 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Equivalence
You can use either slope-intercept, point-slope, or standard form to represent linear functions. (You can transform one version to another as needed.)

Slope-Intercept Form (Lesson 2-3)

y	equals m x plus b
y	equals 2 x minus 1

A line rises through (0.5, 0) and (1, 1). All points are approximate.

More Linear Equations (Lesson 2-4)

y − y 1 = m ( x − x 1 ) y minus , y sub 1 , equals m open x minus , x sub 1 , close	A x + B y = C eh x plus b y equals c
y − 5 = 2 ( x − 3 ) y minus , 5 equals 2 open x minus 3 close	2 x − y = 1 2 x minus y equals 1

2 Function
You can use the values of a, h, and k in the form y = a | x − h | + k y equals eh vertical line x minus h vertical line plus k to determine how the parent function y equals vertical line x vertical line has been transformed.

Families of Functions (Lesson 2-6)

f(x) + k	vertical translation
f ( x − h ) f open x minus h close	horizontal translation
af(x)	stretch or compression
negative f open x close	reflection in the x-axis
f open negative x close	reflection in the y-axis

Absolute Value Functions and Graphs (Lesson 2-7)
Parent: y equals vertical line x vertical line
General form:
y equals eh vertical line x minus h vertical line plus k
vertex: (h, k)
A v-shaped graph falls through the positive y-axis and positive x-axis to a vertex (h, k) in quadrant 4, and then rises through the positive x-axis.

A v-shaped graph falls through the positive y-axis and positive x-axis to a vertex (h, k) in quadrant 4, and then rises through the positive x-axis.

3 Modeling
You can use the equation of a trend line or line of best fit to model data that cluster in a linear pattern.

Using Linear Models (Lesson 2-5)

A scatter plot has a tight group of points that rise from left to right revealing a positive correlation.

A trend line falls through a tight group of points falling from left to right.

Chapter Vocabulary

absolute value function (p. 107)
axis of symmetry (p. 107)
boundary (p. 114)
constant of variation (p. 68)
correlation (p. 92)
correlation coefficient (p. 94)
dependent variable (p. 63)
direct variation (p. 68)
domain (p. 61)
function (p. 62)
function notation (p. 63)
function rule (p. 63)
half-plane (p. 114)
independent variable (p. 63)
line of best fit (p. 94)
linear equation (p. 75)
linear function (p. 75)
linear inequality (p. 114)
parallel lines (p. 85)
parent function (p. 99)
perpendicular lines (p. 85)
point-slope form (p. 81)
range (p. 61)
reflection (p. 101)
relation (p. 60)
scatter plot (p. 92)
slope (p. 74)
slope-intercept form (p. 76)
standard form of a linear equation (p. 82)
test point (p. 115)
transformation (p. 99)
translation (p. 99)
vertex (p. 107)
vertical compression (p. 102)
vertical stretch (p. 102)
vertical-line test (p. 62)
x-intercept (p. 76)
y-intercept (p. 76)

Choose the correct term to complete each sentence.

The graph of a function is (always/sometimes) a line.
The equation y − 5 = 3 ( x + 2 ) y minus 5 equals 3 open x plus 2 close is in (point-slope/slope-intercept) form.

End ofPage 122

2 Chapter Review

Chapter Vocabulary

Table of Contents