# Calculus

A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 9, the vertical shift is 11 units down, and the period of the function is 12π/7. The graph of the function does not show a phase shift.

What is the equation of the cosine function described?

f(x)=___cos( ___x)

1. 👍
2. 👎
3. 👁
1. for the function described by:
The amplitude of the function is 9, the vertical shift is 11 units down, and the period of the function is 12π/7
y = 9cos(7x/6) - 11

1. 👍
2. 👎
👤
Reiny

## Similar Questions

1. ### Math

Question: The sine function has an amplitude of 2, a phase shift of π/6 to the right, a period of 8π, and a vertical translation of 2 units down. Write an equation for the function The function I've made is: y = 2sin

2. ### Precalculus

Suppose H(X)=(3-7x)^6 Find two functions f and g such that (f•g)(x)=H(x) Neither function can be the parent/ identity function

3. ### Algebra2

A wave is modeled with the function y = 1/2 sin 3Θ, where Θ is in radius. Describe the graph of this function, including its period, amplitude, and points of intersection with the x-axis. My answers are Amplitude = 1/2 Period =

4. ### Trig

find the equation for the cosine function that has an amplitude of 3/5, a period of 3pi/2 and a y-intercept of 5.

1. ### Math III

For a particular angle theta, the cosine function f(x) = a cos b(theta) has the following values within one cycle of the function: f(0)=4;f(pi/4)=0;f(pi/2)=-4;f(3pi/4)=0;f(pi)=4. What is the rule for the cosine function? a.

2. ### Geometry

Write a rule in function notation to describe the transformation that is a reflection across the y-axis. A. Rx-0(X,Y) B. Ry-0(X,Y) C. Ry-x(X,Y) D. Rx--1(X,Y)

3. ### Math

The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function

4. ### Math

compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following? a.it makes the graph narrower than the parent function. b.it makes the graph wider than the parent

1. ### Algebra 2 check my last answer?!

A cosine function has a period of 3, a maximum value of 20, and a minimum value of 0. The function is a reflection of its parent function over the x-axis. Which function could be the function described? f(x)=10cos(3x)−10

2. ### Math

Write a rule in function notation to describe transformation that is a reflection across the x-axis. A. Ry-x(X,Y) B. Rx-0(X,Y) C. Rx-y(X,Y) D. Ry-0(X,Y)

3. ### algebra

A sine function has the following key features: Period = 4 Amplitude = 4 Midline: y = 1 y-intercept: (0, 1) The function is not a reflection of its parent function over the x-axis. Use the sine tool to graph the function. The

4. ### 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