Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the amplitude of 
y=-3cos(pi x+2)-6?
units

What is the amplitude of y=3cos(πx+2)6? y=-3 \cos (\pi x+2)-6 ? \newlineunits

Full solution

Q. What is the amplitude of y=3cos(πx+2)6? y=-3 \cos (\pi x+2)-6 ? \newlineunits
  1. Identify standard form: Identify the standard form of a cosine function.\newlineThe standard form of a cosine function is y=Acos(Bx+C)+Dy = A \cos(Bx + C) + D, where AA is the amplitude.
  2. Determine amplitude: Determine the amplitude from the given function.\newlineIn the given function y=3cos(πx+2)6y = -3\cos(\pi x + 2) - 6, the coefficient of the cosine function is 3-3. The amplitude is the absolute value of this coefficient.\newlineAmplitude = 3=3|-3| = 3
  3. Check for errors: Check for any mathematical errors in the previous steps.\newlineThere are no mathematical errors in the calculation of the amplitude.

More problems from Domain and range of quadratic functions: equations