Question

Graph h(x)=7 sin x ?

Answer 1

Answer:

A sine function is a trigonometric function. If you want to sketch the graph of the basic sine function, keep in mind the key points in one period: the intercepts, maximum  points, and minimum points. So the graph of $h(x)=7sinx$ is shown in the figure below.

The intercepts:

$(0,0), (\pi,0) \ and \ (2\pi,0)$

Maximum  point:

$(\frac{\pi}{2},7)$

Minimum point:

$(\frac{3\pi}{2},-7)$

Period:

$2\pi$

Amplitude:

$7$