27. f(x) = 3(x + 2)² + 1 28. f(x) = -4(x + 1)2 – 5 %3D 29. f(x) = -2x2 + 5 %3D 30. f(x) = x - 1)2 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please do #27 and #29
+ 3)2
21. g(x) = (2x)²
22. g(x)
= -(2x)-
- 9)2 + 5
23. g(x) =x? – 4
24. g(x) = (x - 1)2
%3D
3
+ 10)2 – 3
ERROR ANALYSIS In Exercises 25 and 26, describe
and correct the error in analyzing the graph of
f(x) = -6x² + 4.
3
25.
The graph is a reflection in the
y-axis and a vertical stretch
by a factor of 6, followed by a
translation 4 units up of the graph
of the parent quadratic function.
+ 1
26.
The graph is a translation 4 units
followed by a vertical stretch
1) 1
up,
by a factor of 6 and a reflection
in the x-axis of the graph of the
parent quadratic function.
USING STRUCTURE In Exercises 27-30, describe the
transformation of the graph of the parent quadratic
function. Then identify the vertex.
E.
27. f(x) = 3(x + 2)2 + 1
of h
inu!
28. f(x) = -4(x+ 1)2 – 5
29. f(x) = -2x²+ 5
30. f(x) = x – 1)?
Tratic Functions
Transcribed Image Text:+ 3)2 21. g(x) = (2x)² 22. g(x) = -(2x)- - 9)2 + 5 23. g(x) =x? – 4 24. g(x) = (x - 1)2 %3D 3 + 10)2 – 3 ERROR ANALYSIS In Exercises 25 and 26, describe and correct the error in analyzing the graph of f(x) = -6x² + 4. 3 25. The graph is a reflection in the y-axis and a vertical stretch by a factor of 6, followed by a translation 4 units up of the graph of the parent quadratic function. + 1 26. The graph is a translation 4 units followed by a vertical stretch 1) 1 up, by a factor of 6 and a reflection in the x-axis of the graph of the parent quadratic function. USING STRUCTURE In Exercises 27-30, describe the transformation of the graph of the parent quadratic function. Then identify the vertex. E. 27. f(x) = 3(x + 2)2 + 1 of h inu! 28. f(x) = -4(x+ 1)2 – 5 29. f(x) = -2x²+ 5 30. f(x) = x – 1)? Tratic Functions
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