Transformations 1. Use transformations to graph the function defined by n(x) -- 2)² + 3 %3D a). What's the basic parent graph? b). Transformation sequence. The different transformations to consider are Reflection with respect to r-axis: Reflection with respect to y-axis: Horizontal Shift: tiool Shift:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Learning Goals: Apply various rules of transformations to obtain graphs using the corre-
sponding parent graph. Classify Even/Odd functions and infer its' connection to symmetry.
Evaluate the average rate of change of a function. Construct picce-wise defined functions
from given graphs. Graph picce-wise defined functions by identifying it's restricted domains
and analyzing them one picce at a time.
Transformations
1. Use transformations to graph the function defined by n(r) =-(r-2)2 +3
a). What's the basic parent graph?
b). Transformation sequence. The different transformations to consider are
Reflection with respect to r-axis:
Reflection with respect to y-axis:
Horizontal Shift:
Vertical Shift:
Vertical Scale Changing:
Horizontal Scale Changing:
c). Graph the function:
Transcribed Image Text:Learning Goals: Apply various rules of transformations to obtain graphs using the corre- sponding parent graph. Classify Even/Odd functions and infer its' connection to symmetry. Evaluate the average rate of change of a function. Construct picce-wise defined functions from given graphs. Graph picce-wise defined functions by identifying it's restricted domains and analyzing them one picce at a time. Transformations 1. Use transformations to graph the function defined by n(r) =-(r-2)2 +3 a). What's the basic parent graph? b). Transformation sequence. The different transformations to consider are Reflection with respect to r-axis: Reflection with respect to y-axis: Horizontal Shift: Vertical Shift: Vertical Scale Changing: Horizontal Scale Changing: c). Graph the function:
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