what is the amplitude of $h(x)=7sinleft(\frac{3pi}{4}x - \frac{pi}{4}\right)+6$?\n\nblank units

Explanation:

Step1: Recall amplitude formula

For a sine - function of the form $y = A\sin(Bx - C)+D$, the amplitude is given by $|A|$.

Step2: Identify A in the given function

In the function $h(x)=7\sin(\frac{3\pi}{4}x-\frac{\pi}{4}) + 6$, $A = 7$.

Step3: Calculate the amplitude

The amplitude is $|7|=7$.

Answer:

7