What is the shift cos(x/4+pi/4)-2 ?

The shift cos(x/4+pi/4)-2 is Phase:-pi, Vertical:-2

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shift cos(x/4+pi/4)-2

shift

cos (\frac{x}{4} + \frac{π}{4}) - 2

Phase : - π, Vertical : - 2

Solution steps

Simplify

cos (\frac{x}{4} + \frac{π}{4}) - 2 : cos (\frac{x + π}{4}) - 2

f (x) = cos (\frac{x + π}{4}) - 2

g (B x - C) = cos (\frac{x + π}{4}), B = \frac{1}{4}, C = - \frac{π}{4}, D = - 2

Therefore, the phase shift

\frac{C}{B}

\frac{- \frac{π}{4}}{\frac{1}{4}}

- π

The vertical shift

D

- 2

- 2

f (x) = \frac{2 x ^{2} - x - 7}{x ^{2} + 4}

f (x) = 1 - (x - 4)^{2}

\frac{4}{x} + 6

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

What is the shift cos(x/4+pi/4)-2 ?
The shift cos(x/4+pi/4)-2 is Phase:-pi, Vertical:-2