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What is the axis of symmetry for the graph of this equation?

What is the axis of symmetry for the graph of this equation?-example-1
User Marius Pop
by
6.4k points

2 Answers

1 vote

Answer:

x=1

Explanation:

x=-b/(2a)

a=2

b=-4

c=2

-(-4)/(2*2)=4/4 or 1

x=1

User Roki
by
6.2k points
4 votes

Hello!

The answer is: The axis of symmetry is:
x=1

Why?

The axis of symmetry is a vertical line that divides the function (parabola)into two congruent halves, and it can be found using the following equation:


x=-(b)/(2a)

From the given function (parabola) we have that:


a=2\\b=-4\\c=2

So, finding the axis of symmetry we have:


x=-(-4)/(2*2)=(4)/(4)=1

So, the axis of symmetry is:
x=1

Have a nice day!

User Tenfour
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5.9k points