Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflecting). [Hint: If necessary, write f in the form f(x) = a(x – h)² + k.] 10- 8- 6- f(x) = x² + 2x - 2 14- Which transformations are needed to graph the function f(x) = x² + 2x – 2? Choose the correct answer below. 2- -2 10 O A. The graph of y = x should be horizontally shifted to the right by 1 unit and shifted vertically up by 3 units. 10 -8 .6. -4 +2- O B. The graph of y = x? should be horizontally shifted to the right by 3 units and shifted vertically down by 1 unit. 4- O C. The graph of y = x² should be horizontally shifted to the left by 3 units and shifted vertically up by 1 unit. -8- D. The graph of y = x should be horizontally shifted to the left by 1 unit and shifted vertically down by 3 units. -10 A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 1DE
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Related questions
Question
Graph the function f by starting with the graph of y = x2 and using transformations
(shifting, compressing, stretching, and/or reflecting). [Hint: If necessary, write f in the
form f(x) = a(x – h)² + k.]
10-
8-
6-
f(x) = x² + 2x - 2
14-
Which transformations are needed to graph the function f(x) = x² + 2x – 2?
Choose the correct answer below.
2-
-2
10
O A. The graph of y = x should be horizontally shifted to the right by 1 unit
and shifted vertically up by 3 units.
10
-8
.6.
-4
+2-
O B. The graph of y = x? should be horizontally shifted to the right by 3 units
and shifted vertically down by 1 unit.
4-
O C. The graph of y = x² should be horizontally shifted to the left by 3 units
and shifted vertically up by 1 unit.
-8-
D. The graph of y = x should be horizontally shifted to the left by 1 unit and
shifted vertically down by 3 units.
-10
A
Transcribed Image Text:Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflecting). [Hint: If necessary, write f in the form f(x) = a(x – h)² + k.] 10- 8- 6- f(x) = x² + 2x - 2 14- Which transformations are needed to graph the function f(x) = x² + 2x – 2? Choose the correct answer below. 2- -2 10 O A. The graph of y = x should be horizontally shifted to the right by 1 unit and shifted vertically up by 3 units. 10 -8 .6. -4 +2- O B. The graph of y = x? should be horizontally shifted to the right by 3 units and shifted vertically down by 1 unit. 4- O C. The graph of y = x² should be horizontally shifted to the left by 3 units and shifted vertically up by 1 unit. -8- D. The graph of y = x should be horizontally shifted to the left by 1 unit and shifted vertically down by 3 units. -10 A
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