Hi

I have a question. Two points on a parabola is (-4,-1) and (-10,-1). what is the equation of the axis of symmetry?

how do you find it?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

If you analyse this you would see,

when x = -4, y = -1

and x = -10 also, y = -1

That means at -4 and -10,  the parabola has same value and it is symmetrical in the middle point of [-4,-10] range.

The middle point is = (-4 -10)/2

                            = -7

Therefore the axis of symmetry is x = -7 or x+7 =0

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial