Find the Maximum/Minimum Value y=-2+5sin(pi/12(x-2))

$y = - 2 + 5 \sin (\frac{π}{12} (x - 2))$

Simplify each term.

Tap for more steps…

Apply the distributive property.

$y = - 2 + 5 \sin (\frac{π}{12} x + \frac{π}{12} \cdot - 2)$

Combine $\frac{π}{12}$ and $x$ .

$y = - 2 + 5 \sin (\frac{π x}{12} + \frac{π}{12} \cdot - 2)$

Cancel the common factor of $2$ .

Tap for more steps…

Factor $2$ out of $12$ .

$y = - 2 + 5 \sin (\frac{π x}{12} + \frac{π}{2 (6)} \cdot - 2)$

Factor $2$ out of $- 2$ .

$y = - 2 + 5 \sin (\frac{π x}{12} + \frac{π}{2 \cdot 6} \cdot (2 \cdot - 1))$

Cancel the common factor.

$y = - 2 + 5 \sin (\frac{π x}{12} + \frac{π}{2 \cdot 6} \cdot (2 \cdot - 1))$

Rewrite the expression.

$y = - 2 + 5 \sin (\frac{π x}{12} + \frac{π}{6} \cdot - 1)$

Combine $\frac{π}{6}$ and $- 1$ .

$y = - 2 + 5 \sin (\frac{π x}{12} + \frac{π \cdot - 1}{6})$

Simplify each term.

Tap for more steps…

Move $- 1$ to the left of $π$ .

$y = - 2 + 5 \sin (\frac{π x}{12} + \frac{- 1 \cdot π}{6})$

Move the negative in front of the fraction.

$y = - 2 + 5 \sin (\frac{π x}{12} - \frac{π}{6})$

The minimum and maximum cannot be determined because this is not a quadratic function.

Not a Quadratic Function

Find the Maximum/Minimum Value y=-2+5sin(pi/12(x-2))

Do you need help with math?