What is the shift f(x)=3cos(1/2 pix-pi)-3 ?

The shift f(x)=3cos(1/2 pix-pi)-3 is Phase:2, Vertical:-3

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shift f(x)=3cos(1/2 pix-pi)-3

shift

f (x) = 3 cos (\frac{1}{2} π x - π) - 3

Phase : 2, Vertical : - 3

Solution steps

Simplify

3 cos (\frac{1}{2} π x - π) - 3 : 3 cos (\frac{π}{2} x - π) - 3

f (x) = 3 cos (\frac{π}{2} x - π) - 3

g (B x - C) = cos (\frac{π}{2} x - π), B = \frac{π}{2}, C = π, D = - 3

Therefore, the phase shift

\frac{C}{B}

\frac{π}{\frac{π}{2}}

2

The vertical shift

D

- 3

- 3

f (x) = x^{5} - 6

f (x) = x^{6} (x - 3)^{5}

f (x) = x^{2} + x - 6

f (x) = x^{2} + 16 x + 60

f (x) = - \frac{1}{3} (x + 5)^{2} - 4

What is the shift f(x)=3cos(1/2 pix-pi)-3 ?
The shift f(x)=3cos(1/2 pix-pi)-3 is Phase:2, Vertical:-3