Question

Help! 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.

Answer 1

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

Explanation:

Given function is
`F(x)=-4(x-6)^2+3`.

Now we need to find about what is the maximum value of the given function
`F(x)=-4(x-6)^2+3` and explain the method about how did you find the maximum value.

Given function
`F(x)=-4(x-6)^2+3` looks similar to the quadratic function of the form
`f(x)=a(x-h)^2+k`.

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
`F(x)=-4(x-6)^2+3` 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.