Let's start with our parent function:
f(x) = sin x
One cycle on this graph occurs between 0 and 2π. Therefore, our b-value is one.
There is no vertical shift up. The sinusoidal axis is along y = 0.
The wave is not inverted, it starts at the origin and rises on both the y and x axis. Thus there is no negative value before the function.
The amplitude of the wave is 3. A normal sine wave rises to a maximum of 1, but this is multiplied by 3.
f(x) = 3 sin x
There are an infinite amount of equations that could be used to represent this graph, but this is perhaps the most intuitive.
The result is
9
a
2
−
16
The reason is the following:
The problem is an example of a notable product: "the sum multiplied by the diference is equal to the difference of squares", that is to say:
(
a
+
b
)
⋅
(
a
−
b
)
=
a
2
−
b
2
.
By applying this to our question, we obtain that:
(
3
a
−
4
)
⋅
(
3
a
+
4
)
=
(
3
a
)
2
−
(
4
)
2
=
9
a
2
−
16
.
Answer:
-7
Step-by-step explanation:
-21.00/3.00
Answer:
3
Step-by-step explanation:
The answer is 3 because absolute value is the distance away from zero so, -2 is 2 away from zero and -3 is 3 away from zero. Therefore, -3 has the largest absolute value.
