Describe how the graph of y=x² can be transformed to the graph of the given equation.y = (x - 13)² + 19Select one:a.b.O c.d.CheckShift the graph of y = x² right 13 units and then up 19 units.Shift the graph of y = x² left 13 units and then down 19 units.Shift the graph of y = x² left 13 units and then up 19 units.Shift the graph of y = x² up 13 units and then right 19 units.

1). If ; the graph horizontally shifts in the right direction by units.2). If ; the graph…

Answered: Describe how the graph of y=x² can be…

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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Related questions

Question

Describe how the graph of y=x² can be transformed to the graph of the given equation.
y = (x - 13)² + 19
Select one:
a.
b.
O c.
d.
Check
Shift the graph of y = x² right 13 units and then up 19 units.
Shift the graph of y = x² left 13 units and then down 19 units.
Shift the graph of y = x² left 13 units and then up 19 units.
Shift the graph of y = x² up 13 units and then right 19 units.

Expert Solution

Step 1: Define the graphical transformation of the graph:

1). If $f open parentheses x close parentheses rightwards arrow f open parentheses x minus a close parentheses$ ; the graph horizontally shifts in the right direction by $a$ units.

2). If $f open parentheses x close parentheses rightwards arrow f open parentheses x close parentheses plus a$ ; the graph vertically shifts in the upward direction by $a$ units.