What is the amplitude of the sinusoid given by y=-5sin(7x)?

5.

When we look at the amplitude of a sine wave, we want to know how high its peaks and how low its valleys are. The graph of y = sin(x) rises to a high of 1 at its peaks and a low of -1 at its valleys, so its amplitude is 1. Multiplying the function by 5 makes its peaks and valleys 5 times higher and lower - y = 5sin(x) has an amplitude of 5 for that reason.

Flipping the 5 to a -5 doesn't change the amplitude; it simply swaps the peaks for the valleys, so our amplitude will still be 5.

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms