# Calculus (pleas help!!!)

Find the formula for a function of the form y=Asin(Bx)+C with a maximum at (0.5,0), a minimum at (1.5,−4), and no critical points between these two points.

1. 👍
2. 👎
3. 👁
1. What do you call a critical point? No more maxima or minima between x = 0.5 and 1.5 ? I will assume so.

The wavelength would be two times the x distance between maximum and minimum, or 2 in this case. The amplitude is half the difference between max and min, or 2. The average value is -2. That is the C that gets added at the end

There will be a midpoint of the sine function at x = 0. That makes it easier.

Thus the function looks something like
y = 2 sin[pi*x] -2

1. 👍
2. 👎

## Similar Questions

1. ### algebra 2

a quadratic equation can be written in vertex form or in standard form. sometimes one form is more beneficial than the other. identify which form would be more helpful if you needed to do each task listed below and explain why. a.

2. ### math

which form of a quadratic funtion is easiest to use to find the maximum or minimum value of the function? satandard form factored form vertex form any form ***********

3. ### pre cal

Find a possible formula for the function graphed below. Assume the function has only one x-intercept at the origin, and the point marked on the graph below is located at (2,12). The asymptotes are x=−2 and x=1. Give your formula

4. ### Trigonometry

The function in the graph has the general equation f(x)=asin(bx+c)+d. Which of the following values are correct? Select all that apply d=-3 C=-1 B=0.5 B=0.5 D=1 A=2 B=2

1. ### Calculus Help

The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter

2. ### Calculus

Find the formula for a function of the form y=Asin(Bx)+C with a maximum at (1.5,1), a minimum at (4.5,−11), and no critical points between these two points.

3. ### trigonometry

An object is attached by a string to the end of a spring. When the weight is released it starts oscillating vertically in a periodic way that can be modeled by a trigonometric function. The object's average height is −20 cm

4. ### Pre-Calc

A piece of wire 100 cm long is cut into two pieces. One piece is bent to form a square and the other to form a circle. Let x equal the length of the wire used to form the square. A. write the function that represents the area of

1. ### Algebra

The temperature y (in degrees Fahrenheit) after t months can be modeled by the function y=-3t^2+18t+53 where 1

2. ### math

How do you find the value of m in the equation y=k+asin(mx)?

3. ### PHYSICS

To see how two traveling waves of the same frequency create a standing wave. Consider a traveling wave described by the formula y1(x,t)=Asin(kx−ωt). This function might represent the lateral displacement of a string, a local

4. ### math

Please help me! Find the formula for the function of the form w(x)= Asin(Bx)+C with an (i) a maximum (3,6),(i) a minimum at (-9,6), and (iii) no critical points between these two points