Question

Given y = -3 + 9 sin 7x , the amplitude is ___

Answer 1

Solution

Step 1:

Amplitudedefinition}.

$\mathrm{For\:f\left(x\right)=A\cdot \sin \left(Bx-C\right)+D\:the\:amplitude\:is\:|A|}$

Step 2:

$\begin{gathered} f\left(x\right)=-3+9\sin \left(7x\right),\:A=9 \\ \mathrm{Therefore,\:\:the\:amplitude\:|A|\:is\:}9 \\ 9 \end{gathered}$

Final answer

Amplitude is 9