Two students are working to sketch the graph of the function k(x)=1.5(x−2)2+4 .  Both begin by imagining a horizontal translation of the graph of y=x2 .  However they proceed differently and notice they get different results.  Their work is shown below.  To help them understand who is correct, define the function rules for each graph the students drew. h(x)= r(x)= p(x)=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 32E
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Two students are working to sketch the graph of the function k(x)=1.5(x−2)2+4 .  Both begin by imagining a horizontal translation of the graph of y=x2 .  However they proceed differently and notice they get different results.  Their work is shown below.  To help them understand who is correct, define the function rules for each graph the students drew.

h(x)=

r(x)=

p(x)=

Carly
y=g(x)
8
V-V-M
6
4
3
2
+
--2
Susie
10-
9
8
7
3
2
+
11
10-
9
8
17
3
2
1
y = f(x)
y = S(x)
-2
-2
-1
19
8
7t
6+
5
4
3-
2-
I
2
y=r(x)
-2
-1
10
9-
8-
6+
3-
2+
11
10
9+
8
7
6-
4+
2-
+
y=h(x)
y = p(x)
7
Transcribed Image Text:Carly y=g(x) 8 V-V-M 6 4 3 2 + --2 Susie 10- 9 8 7 3 2 + 11 10- 9 8 17 3 2 1 y = f(x) y = S(x) -2 -2 -1 19 8 7t 6+ 5 4 3- 2- I 2 y=r(x) -2 -1 10 9- 8- 6+ 3- 2+ 11 10 9+ 8 7 6- 4+ 2- + y=h(x) y = p(x) 7
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