91Ó°ÊÓ

Find the angle of inclination of the line represented by the equation. $$ x+y-8=0 $$

Determine the amplitude and the period for the function. Sketch the graph of the function over one period. $$ y=\sin (x-\pi) $$

Sketch the graph of the first function by plotting points if necessary. Then use transformation(s) to obtain the graph of the second function. \(y=\sqrt{x}, \quad y=2 \sqrt{x-1}+1\)

Find an equation of the line satisfying the conditions. Write your answer in the slope-intercept form. Is perpendicular to the \(x\) -axis and passes through the point \(\left(\pi, \pi^{2}\right)\)

Determine the amplitude and the period for the function. Sketch the graph of the function over one period. $$ y=\cos (x+\pi) $$

Find the exact value of the given expression. $$ \sin \left(\sin ^{-1} \frac{1}{\sqrt{2}}\right) $$

Find an equation of the line satisfying the conditions. Write your answer in the slope-intercept form. Passes through \((4,-3)\) with slope 2

Sketch the graph of the first function by plotting points if necessary. Then use transformation(s) to obtain the graph of the second function. \(y=|x|, \quad y=2|x+1|-1\)

Determine the amplitude and the period for the function. Sketch the graph of the function over one period. $$ y=\sin \left(x+\frac{\pi}{2}\right) $$

Determine the amplitude and the period for the function. Sketch the graph of the function over one period. $$ y=\cos \left(x-\frac{\pi}{4}\right) $$