contestada

Find a function of the form

y
=
A
sin
(
k
x
)
+
C
or

y
=
A
cos
(
k
x
)
+
C
whose graph matches this one:
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
-13
-14
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
(Leave your answer in exact form; if necessary, type pi for
π
.
y
=

Find a function of the form y A sin k x C or y A cos k x C whose graph matches this one 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 1 2 3 class=

Respuesta :

Medunno13

Answer:

Step-by-step explanation:

The amplitude is 6, so A=6.

Also, the midline is y=-3, so C=-3.

The period is 10, so 2pi/k = 10 -> k=5.

Now we need to determine if this is a sine graph or a cosine graph. As the y-intercept is not the value of C, we can determine that this is a cosine graph, and thus y=6cos(5x)-3.

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