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valentina_108 [34]
3 years ago
8

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

d 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.

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

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 y=-x^2+4x-8.

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 x=\frac{-b}{2a}

In our given equation:

a=-1

b=4

c=-8

Now we can plug in these values to the equation

x=\frac{-4}{-2} \\\\x=2

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

y=-(2)^2+4(2)-8\\\\y=-4+8-8\\\\y=-4

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

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