y = -1 + 3 sin 4x
Let's look at the equation of y = 3 sin 4x, which is of the form y = A sin Bx, where
the amplitude = |A|, and the period = (2pi)/B.
So that the amplitude of the graph of y = 3 sin 4x is |3| = 3, which tell us that the maximum value of y is 3 and the minimum value is -3, and the period is (2pi)/4 = pi/2, which tell us that each cycle is completed in pi/2 radians.
The graph of y = -1 + 3 sin 4x has the same amplitude and period as y = 3 sin 4x, and translates the graph of y = 3 sin 4x one unit down, so that the maximum value of y becomes 2 and the minimum value becomes -4.
The answer will depend on the ranges for x and y. If the ranges are not restricted, then C can have any value.
-1
The question is not clear. A function is defined by an equation and that requires an equals sign. there is no equals sign in the question. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "divided by", "equals".
72 minus the root of squared minus equals 72 but you have to be smart to know that the minimum circumference s 56 there you go
If AC equals 6 and BD equals 4, then AB equals 5.
The amplitude of a function is half the distance between the maximum and minimum values. This is the absolute value of the number in front of the trig function. for example, y=Asin(x) or y= Acos(x) the absolute value of A is the amplitude. Therefore, the amplitude of y=-2sinx is 2
There is no maximum but te minimum is 15.
+3 and -3
4
The amplitude is 1.
It has an absolute minimum at the point (2,3). It has no maximum but the ends of the graph both approach infinity.
The amplitude is ' 1 ' .
The amplitude is 4 .
A straight line has no turning points and so no local maxima or minima. The line has a maximum at + infinity and a minimum at - infinity if m > 0 and conversely if m < 0. When m = 0, the line is horizontal and so has no maximum or minimum. ([Alternatively, every point on the line is simultaneously a maximum and a minimum.]
5
The amplitude of the wave [ y = -2 sin(x) ] is 2.
'Y' varies between -4 and +4. Viewed as a wave, its amplitude is 4.