Answer:
a = -1, b = -2.5
Step-by-step explanation:
Rule for the dilation of a vector by a scale factor of k is,
(x, y) → (kx, ky)
BY using this rule for a vector by a scale factor of 2.5
→
Followed by the rotation by 90° Or radians,
Rule for rotation of a vector by 90° is,
(x, y) → (-y, x)
By this rule vector will become,
→
If we represent this vector by ,
Then a = -1 and b = -2.5 will be the answer.
Answer:
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.
Step-by-step explanation:
The period of a sinusiodal wave is given by the length of x axis which covers one full cycle of the wave, which one positive half-cycle and one negative half cycle.
From the graph we can see that one of the cycles starts at -3.14 / 4 and ends at 3.14 3/4.
Therefore we can sutract the start point value from the end point value to get the period
Therefore period = (3.14 3/4) - (-3.14 / 4) = (3.14
3/4) + (3.14 / 4) = 3.14
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.