In Problems 19–30, graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility. [Hint: If necessary, write f in the form f(x) = a(x – h)² + k.] 19. f(x) = 20. f(x) = 2x2 + 4 21. f(x) = (x + 2)² – 2 22. f(x) = (x – 3)² – 10 23. f(x) = x² + 4x + 2 24. f(х) — х? — бх — 1 25. f(x) = 2x? – 4x + 1 26. f(x) = 3x? + 6x 4 27. f(x) = -x² - 2x 28. f(x) 3D-2х? + 6х + 2 29, f(x) : 30. f(x) 1 + x

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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In Problems 19–30, graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching,
and/or reflection). Verify your results using a graphing utility.
[Hint: If necessary, write f in the form f(x) = a(x – h)² + k.]
19. f(x) =
20. f(x) = 2x2 + 4
21. f(x) = (x + 2)² – 2
22. f(x) = (x – 3)² – 10
23. f(x) = x² + 4x + 2
24. f(х) — х? — бх — 1
25. f(x) = 2x? – 4x + 1
26. f(x) = 3x? + 6x
4
27. f(x) = -x² - 2x
28. f(x) 3D-2х? + 6х + 2
29,
f(x) :
30. f(x)
1
+ x
Transcribed Image Text:In Problems 19–30, graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility. [Hint: If necessary, write f in the form f(x) = a(x – h)² + k.] 19. f(x) = 20. f(x) = 2x2 + 4 21. f(x) = (x + 2)² – 2 22. f(x) = (x – 3)² – 10 23. f(x) = x² + 4x + 2 24. f(х) — х? — бх — 1 25. f(x) = 2x? – 4x + 1 26. f(x) = 3x? + 6x 4 27. f(x) = -x² - 2x 28. f(x) 3D-2х? + 6х + 2 29, f(x) : 30. f(x) 1 + x
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