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gayaneshka [121]
3 years ago
13

-x^2+4x-8 axis of symmerty​

Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Answer:

\boxed {\boxed {\sf x=2}}

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

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

First we must determine a and b from the quadratic: -x^2+4x-8. This is in standard form, with the highest power first in descending order.

Standard form is also: ax^2+bx+c

If we compare this to the quadratic given, we can conclude that:

a= -1 \\b= 4 \\c= -8

Substitute the values for a and b into the formula.

x= \frac{-(4)}{2(-1)}

Multiply in the denominator.

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

Divide.

x=2

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

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