Which of the following is a valid comparison between the possible minimum and maximum values of the function y = -x2 + 4x - 8 and the graph below?

the maximum value of the equation is 1 less than the maximum value of the graph.
the minimum value of the equation is 1 less than the minimum value of the graph.
the minimum value of the equation is 1 greater than the minimum value of the graph.
the maximum value of the equation is 1 greater than the maximum value of the graph.

The maximum value of the equation is 1 less than the maximum value of the graph

Step-by-step explanation:

We have the equation .

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

In our given equation:

a=-1

b=4

c=-8

Now we can plug in these values to the equation

Now we can plug the x value where the maximum occurs to find the max value of the equation

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

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: