Answer:
Final answer is that function g(x) has the largest maximum value, which is 6.
Step-by-step explanation:
Given function is [tex]F(x)=-4(x-6)^2+3[/tex].
Now we need to find about what is the maximum value of the given function [tex]F(x)=-4(x-6)^2+3[/tex] and explain the method about how did you find the maximum value.
Given function [tex]F(x)=-4(x-6)^2+3[/tex] looks similar to the quadratic function of the form [tex]f(x)=a(x-h)^2+k[/tex].
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 [tex]F(x)=-4(x-6)^2+3[/tex] 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.
