3 1. T h in k A b o u t a P lan W h a tp o in t(s) do th e graphs of y = |x — 2\ andy = |x + 4|
have in com m on?- How are these graphs related?
- Could a graph or a table help you solve this problem?
- W hat point(s) do th e graphs of y = - |x | + 7 a n d y = \x - 3| have in com m on?
Graph each translation of y = | x \. Describe how the graph is related to the
graph ofy = |x |.- y= |x — l| +2 34. y = \x + 2| — 1
i 35. a. Graph y= |x — 2| + 3.
b. Ihe vertex of an absolute value function is th e p o in t at w hich its graph changes
direction. W hat is th e vertex of th e g raph of y = |x — 2 1 + 3?
c. Reasoning W hat relationship do you see betw een th e vertex an d th e equation?
W hat is th e vertex of th e g raph of y = |x - h\ + k?Challenge 36. a. G raph y = 12x| by m aking a table of values.
b. Translate y= 12x| to graph y = 12x| + 3.
c. Translate y = 12x| to graph y = 12(x — 1)|.
d. Translate y = 12x| to graph y = 1 2(x — 1 ) | + 3.- G raph y = - |x + 4| - 7.
St a n d a r d i ze d Test Pr ep
^SAT/ACT 38. For /(x ) = 5x — 7, what value of x gives /(x ) = -3?- W hat is th e slope of the line at th e right?
- W hat is th e value of / ( x ) = x 2 — 4x + 6 w hen x = — 3?
41. W hat is th e x-intercept of th e line y = - 4 x + 2?Mixed Review
The data below follow a linear model. Write an equation of a trend line or use a
graphing calculator to find an equation of the line of best fit.See Lesson 5-7.42.
Year 1 2 34
Price $5.30 $5.57 $5.82 $6.0543.
Ounces 8 12 16 20
Calories 100 151 202 250Get Read y! To p r e p a r e f o r Le sso n 6 - 1 , d o Ex e r c i se s 4 4 - 4 7.
Graph each equation.- y = 2x - 1 45. y = — 3x + 5 46. y =^1 x + 2
See Lesson 5-3.- y = —l x — 7
ED R E S P O N S E350 Chap t er 5 Linear Funct ions