Sketching Graphs (VCE SSCE Mathematical Methods): Quizzes

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Sketching graphs
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What is the direction of phase shift for y=sin(tπ4)y = \sin(t - \frac{\pi}{4})?

Right by π4\frac{\pi}{4} units

What is the direction of phase shift for y=cos(t+π3)y = \cos(t + \frac{\pi}{3})?

Left by π3\frac{\pi}{3} units

What is the period of y=2sin(3t)y = 2\sin(3t)?

2π3\frac{2\pi}{3}

What is the amplitude of y=5cos(2t)y = 5\cos(2t)?

55

What is the range of y=3sin(2t)+4y = 3\sin(2t) + 4?

[1,7][1, 7]

What is the range of y=2cos(3t)y = 2\cos(3t)?

[2,2][-2, 2]

How does +b+b affect y=asin(nt)+by = a\sin(nt) + b?

Shifts graph up by bb units

What is the first step to find x-intercepts?

Set y=0y = 0 and solve

What is the range of y=2cos(3t)1y = 2\cos(3t) - 1?

[3,1][-3, 1]

Where does the central axis move for y=sin(t)+3y = \sin(t) + 3?

From y=0y = 0 to y=3y = 3

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