Purchase Solution

Period, Amplitude, Range, Y-intercept and Phase Shift

Not what you're looking for?

Ask Custom Question

Develop the solutions for the following problems:

1.) Graph the function y = -1 + 2sin(x + π) over a 2-period interval.
a. What is it's period?
b. What is its amplitude?
c. What is it's range?
d. What is the y-intercept of it's graph?
e. what is it's phase shift?

2.) The formula for the up and down motion of a weight on a spring set in motion is
s(t) = a sin √k/m t

If the spring constant k is 6, what mass m must be used to produce a period of 1 sec.
Hint: period = 2л/w

Purchase this Solution

Solution Summary

Period, Amplitude, Range, Y-intercept and Phase Shift are calculated for a given trigonometric function. A formula for weighted spring is elucidated. All work is shown.

Solution Preview

a function f is periodic with period t if
f(x + t) = f(x)
for all values of x in the domain of f.

Please see the attached figure..

A. From the graph we can see that the funtion has the same value when x = 2pi, 4pi etc. But the least positive value for which such a ...

Purchase this Solution

Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.