Question

Please help!

Answer 1

Answer:

$4 \sin( \frac{2}{7}x ) + 1$

Step-by-step explanation:

Let use the basic function of sin first.

Since the midline is 1 and the max point is 5, the amplitude is 4.

The midline is 1 since the midline is at 0,1.

Since we know the distance of the max and midline x values

We can multiply that by 4 to find our period.

$\frac{7\pi}{4} \times 4 = 7\pi$

Use the equation 2pi/b to find the b we would use in our equation.

$\frac{2\pi}{b} = 7\pi$

The answer is

$\frac{2}{7}$

so our equation is

$4 \sin( \frac{2}{7}x ) + 1$