+0  
 
0
403
1
avatar

1. What is the minimum value for the function shown in the graph?

 

A sinusoid function graphed on a coordinate plane. The horizontal x-axis ranges from negative 3 pi to 3 pi in increments of pi over 2. The vertical y-axis ranges from negative 7 to 1 in increments of 0.5. The function begins at begin ordered pair negative 3 pi comma negative 5.5 end ordered pair and increases in increments of pi over 2 until reaching begin ordered pair 3 pi comma negative 5.5 end ordered pair. The function begins at begin ordered pair negative 3 pi comma negative 5.5 end ordered pair and decreases to a minimum value of begin ordered pair negative 5 pi over 2 comma negative 6 end ordered pair. The graph then increases to a maximum value of begin ordered pair negative 3 pi over 2 comma negative 5 end ordered pair and decreases to a minimum value of begin ordered pair negative pi over 2 comma negative 6 end ordered pair. The graph then increases to a maximum value of begin ordered pair pi over 2 comma negative 5 end ordered pair and decreases to a minimum value of begin ordered pair 3 pi over 2 comma negative 6 end ordered pair. The graph then increases to a maximum value of begin ordered pair 5 pi over 2 comma negative 5 end ordered pair and decreases to a minimum value of begin ordered pair 3 pi comma negative 6 end ordered pair.

 

2. Graph a sine function whose amplitude is 5, the period is 6π, midline is y=−2, and the y-intercept is (0, −2). The graph is not a reflection of the parent function over the x-axis.

The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

(Please explain the coordinates of the first point-the midline and the coordinates of the second point).

Guest Feb 17, 2018
 #1
avatar+88898 
+1

1.  Minimum value is  y  = -6

 

2.  In the form    y  =  Asin(Bx) + C

 

A  =  5

 

Since the y intercept  is  (0, - 2), C  is  -2

 

To find B we need to solve this

 

B  =  [ 2pi ] / period  =  [ 2pi  ] / [ 6 pi]  =  1/3

 

So....the function is :

 

y = 5sin ( (1/3) x )  - 2

 

Here's the graph :  https://www.desmos.com/calculator/0s8smsawk2

 

The midlne is  y  = -2

The first point on the midline  is  (0, - 2)

The next point  [to the right of the first point ]  is a max at  (3pi/2, 3)

 

 

cool cool cool

CPhill  Feb 17, 2018

15 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.