5-8 - Transformations of Monomials Sketch the graph of each function by transforming the graph of an appropriate function of the form y = x" from Figure 1. Indicate all x- and y-intercepts on each graph. • 5. (a) P(x) = x² – 4 (c) P(x) = 2r + 3 (b) Q(x) = (x – 4)² (d) P(x) = -(x + 2)² 6. (a) P(x) - x* – 16 (e) P(x) = -5r* + 5 (b) P(x) = -(x + 5)* (d) P(x) = (x – 5)* %3D 7. (a) P(x) = x' - 8 (c) R(x) = -(x + 2)' (b) Q(x) = -x' + 27 (d) S(x) = }(x – 1)³ + 4 %3D 8. (a) P(x) = (x + 3)* (e) R(x) = -}(x – 2)° (b) Q(x) = 2(x + 3)5 – 64 (d) S(x) = -(x – 2)* + 16 %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 47E
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5–8 ■ Transformations of Monomials Sketch the graph of each
function by transforming the graph of an appropriate function of
the form y  x n
from Figure 1. Indicate all x- and y-intercepts on
each graph

5-8 - Transformations of Monomials Sketch the graph of each
function by transforming the graph of an appropriate function of
the form y = x" from Figure 1. Indicate all x- and y-intercepts on
each graph.
• 5. (a) P(x) = x² – 4
(c) P(x) = 2r + 3
(b) Q(x) = (x – 4)²
(d) P(x) = -(x + 2)²
6. (a) P(x) - x* – 16
(e) P(x) = -5r* + 5
(b) P(x) = -(x + 5)*
(d) P(x) = (x – 5)*
%3D
7. (a) P(x) = x' - 8
(c) R(x) = -(x + 2)'
(b) Q(x) = -x' + 27
(d) S(x) = }(x – 1)³ + 4
%3D
8. (a) P(x) = (x + 3)*
(e) R(x) = -}(x – 2)°
(b) Q(x) = 2(x + 3)5 – 64
(d) S(x) = -(x – 2)* + 16
%3D
Transcribed Image Text:5-8 - Transformations of Monomials Sketch the graph of each function by transforming the graph of an appropriate function of the form y = x" from Figure 1. Indicate all x- and y-intercepts on each graph. • 5. (a) P(x) = x² – 4 (c) P(x) = 2r + 3 (b) Q(x) = (x – 4)² (d) P(x) = -(x + 2)² 6. (a) P(x) - x* – 16 (e) P(x) = -5r* + 5 (b) P(x) = -(x + 5)* (d) P(x) = (x – 5)* %3D 7. (a) P(x) = x' - 8 (c) R(x) = -(x + 2)' (b) Q(x) = -x' + 27 (d) S(x) = }(x – 1)³ + 4 %3D 8. (a) P(x) = (x + 3)* (e) R(x) = -}(x – 2)° (b) Q(x) = 2(x + 3)5 – 64 (d) S(x) = -(x – 2)* + 16 %3D
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