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

Answer:

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

Step-by-step 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.