Match the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²
Match the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 3E
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Transcribed Image Text:Match the equation, graph, and description of transformation.
Horizontal translation 1
unit right; vertical
translation 1 unit up;
vertical shrink of 1/2;
reflection across the x
axis
Horizontal translation 1
unit left; vertical
translation 1 unit
down; vertical stretch
of 2
Horizontal translation
2 units right; reflection
across the x-axis
Vertical translation 1
unit up; vertical stretch
of 2; reflection across
the x-axis
Reflection across the x
- axis; vertical
translation 2 units
down
Horizontal translation
2 units left
Horizontal translation
2 units right
Vertical translation 1
unit down; vertical
shrink of 1/2; reflection
across the x-axis
Vertical translation 2
units down
Horizontal translation 1
unit left; vertical
translation 2 units up;
vertical stretch of 2;
reflection across the x
- axis
f(x) = -
=-½ ½ (x − 1)²+1
f(x) = x²-2
f(x) = -2(x+1)²+2
f(x)=2(x+1)²-1
f(x)=-(x-2)²
f(x)=(x-2)²
f(x) =
f(x) = -2x²+1
f(x) = -x²-2
f(x) = (x+2)²
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