1. Let f(x) = 2x -2. (a) Rewrite this quadratic function in standard form: f(x) = ax²+bx+c and indicate the values of the coefficients: a, b and c. (b) Find the vertex V, focus F, focal width, directrix D, and the axis of symmetry for the graph of y = f(x). (c) Plot a graph of y = f(x) and indicate all quantities found in part (b) on your graph. (d) Specify the domain and range of the function f.
1. Let f(x) = 2x -2. (a) Rewrite this quadratic function in standard form: f(x) = ax²+bx+c and indicate the values of the coefficients: a, b and c. (b) Find the vertex V, focus F, focal width, directrix D, and the axis of symmetry for the graph of y = f(x). (c) Plot a graph of y = f(x) and indicate all quantities found in part (b) on your graph. (d) Specify the domain and range of the function f.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 7DE
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2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1 and u is the unit step function: u( x ) = 1 if x 20 0 if x<0 VA 1 y = u(x) (a) Write a piecewise formula for the function g. (b) Sketch a graph of y = g(x). (c) Indicate the domain and range of the function g. X
Transcribed Image Text:1. Let f(x) = 2x
-2.
(a) Rewrite this quadratic function in standard form: f(x) = ax²+bx+c
and indicate the values of the coefficients: a, b and c.
(b) Find the vertex V, focus F, focal width, directrix D, and the axis of
symmetry for the graph of y = f(x).
(c) Plot a graph of y = f(x) and indicate all quantities found in part (b)
on your graph.
(d) Specify the domain and range of the function f.
2. Let g(x) = f(x) u(x) where is the quadratic function from problem 1
and u is the unit step function:
u(x)=
1 if x 20
0 if x<0
YA
1
0
y = u(x)
(a) Write a piecewise formula for the function g.
(b) Sketch a graph of y = g(x).
(c) Indicate the domain and range of the function g.
X
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