Question

Functions f(x) and g(x) are shown below:

f(x) = −4(x − 6)2 + 3
g(x) = 2* cos(2* x-(pi))+4

Using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum y-value.

Answer 1

f(x) is a parabola in vertex form

\[f(x) = a(x - h)^2 + k\]

the value of k is the maximum value for the parabola.

the graph of g(x) is centered on the line y = 4

then amplitude is 2 so you can get the max value by adding the centre line and amplitude.

If you want to check, you can graph the curves using

https://www.desmos.com/calculator

Answer 2

okay, and g(x)?

Answer 3

thank you btw :)

Answer 4

@campbell_st