Using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum y-value. f(x)=-4(x-6)^2+3.

Final answer is that function g(x) has the largest maximum value, which is 6.

Step-by-step explanation:

Given function is .

Now we need to find about what is the maximum value of the given function and explain the method about how did you find the maximum value.

Given function looks similar to the quadratic function of the form .

Comparing both we get: h=6, k=3

We know that maximum value occurs at the vertex where maximum value is given by "k"

Hence maximum value of the given function is = 3

From graph we can clearly see that function g(x) has maximum height at 6.

So the final answer is that function g(x) has the largest maximum value, which is 6.

irrational, cannot