Answer:
The maximum value of the equation is 1 less than the maximum value of the graph
Step-by-step explanation:
We have the equation [tex]y=-x^2+4x-8[/tex].
We can know that this graph will have a maximum value as this is a negative parabola.
In order to find the maximum value, we can use the equation [tex]x=\frac{-b}{2a}[/tex]
In our given equation:
a=-1
b=4
c=-8
Now we can plug in these values to the equation
[tex]x=\frac{-4}{-2} \\\\x=2[/tex]
Now we can plug the x value where the maximum occurs to find the max value of the equation
[tex]y=-(2)^2+4(2)-8\\\\y=-4+8-8\\\\y=-4[/tex]
This means that the maximum of this equation is -4.
The maximum of the graph is shown to be -3
This means that the maximum value of the equation is 1 less than the maximum value of the graph
