Identify the transformation from the basic graph of y = sin(x): OVertical Shift OPhase shift OPeriod change OAmplitude change OReflection Write the equation for the function graphed above:
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- . Sketch the function y = sin θ and its transformed graph y = −3sin (2θ) +1, 0°≤θ≤360°. State the domain and range of the final transformed function.The equation that corresponds with graph a is y = 3 sin (x - 90 ) + 1 How does the 3 effect the transformation of the graph? Show all work and needed asap!1 The range of the graph y = sinx - 2 is _____. 2 ≤ y ≤ -2 -3 ≤ y ≤ -1 0 ≤ y ≤ 2 -1 ≤ y ≤ 1
- Given the function y= -4sin(3x-45)+2, (a)state the mapping rule (b) state 5 critical points of the function y=sinx and their new location under the transformations given by y= -4sin(3x-45)+2 (c) sketch the function y= -4sin(3x-45)+2 showing two complete cyclesThe equation that corresponds with graph a is y = - 2 sin (x + 90) - 2 How does the + 90 effect the transformation of the graph? and then The equation that corresponds with a graph is y = 3 sin (x - 90 ) + 1 How does the - 90 effect the transformation of this graph? Show all work and needed asap!For the function f(x)=3cotx determine its stretching factor and phase shift, and then graph it for two periods. Enter the exact answers. Stretching factor = Phase shift: 3 units to the right, 3 units to the left, or no phase shift? Using your answers for the stretching factor and phase shift, select the correct graph of the function f(x)=3cotx.
- For the function f(x)=3cotx determine its stretching factor and phase shift, and then graph it for two periods. Enter the exact answers. can you explain this answer?For the function f(x)=4cotx determine its stretching factor and phase shift, and then graph it for two periods. Enter the exact answers stretching factor = ? phase shift = ?Sketch the graph of y = sin (x − c) for c = −π/4, 0, and π/4. How does the value of c affect the graph?
- Consider the function f(x)=2sin(Pi/2(x-3))+4. State the amplitude A, period P, and midline. State the phase shift and vertical translation. In the full period [0,P], State the maximum and minimum y-values and their corresponding x-valuesHow does the graph y=-cos(x)+3 differ from the parent function.True or False The graphs of y=sin x and y=cos x are identical except for a horizontal shift.