The graphs show how the function g relates to the parent function f. Draw lines from each statement to the graph it describes

----- Nội dung dịch tự động từ ảnh -----
X
-3
-2
-1
1
Name
3-3 Reteach to Build Understanding
Transforming Linear Functions
0
1. The graphs show how the function g relates to the parent function f. Draw
lines from each statement to the graph it describes.
g(x) = f(x) +4
aty
g(x)=f(x+2)
***
f(x) = 0.5x 1
f(x) = x
The value of k is 2, so
the graph translates
2 units right.
Parent
Function
f(x) = 2x - 7
f(x)=2x-7
Equation of
Transformation
g(x) = f(x - 2)
g(x) = -2f(x)
The value of k is 5, so
the slope is scaled by
a factor of 5.
f(x) = x + 2 g(x) = 3f(x)
-1
-3
0
0
3
2. Margaret identified the different transformations of graphs. She has made two
mistakes. Identify and correct her errors.
Margaret's
Identification
Vertical translation
Vertical stretch
Mistake
1-4
3. Consider f(x) = x + 2. If g(x) = 3f(x), how does the graph of g compare with the
graph of f? Complete the work.
Step 1: Make a table of values.
2
O
-2
Correct
Identification
enVisionTM Algebra 1 Teaching Resources
enVision Algebra I
41
ty
2 savvasrealize.com
Step 2: Graph the functions.
10
4
X
g(x)=f(5x - 1)
0.5x − 1
2 -f(x)
The value of k is 4, so
the graph translates
4 units up.
4
Since k> 1, the graph of g is a vertical stretch of the graph of f. The slope and
the y-intercept of the graph are scaled by a factor of