Question

Determine the equation of the axis of symmetry of the parabola with points (-5,3) and (3,3) equally distant from the vertex on either side of it.

Answer 1

Find the x-coordinate of the midpoint.
The axis will be a vertical line passing through the midpoint.

Answer 2

y= a(x-r) (x-s)

Answer 3

So we have to used this formula

Answer 4

What is the midpoint of (-5,3) and (3,3) ?

Answer 5

1

Answer 6

5-3 divide by 2

Answer 7

midpoint = ( (x1+x2)/2, (y1+y2)/2 )

Answer 8

what is that?

Answer 9

( (x1+x2)/2, (y1+y2)/2 )

Answer 10

Midpoint = \(\Large\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right) \)
x-coordinate of midpoint = (-5+3)/2 = -2/2 = -1

x = -1 is the axis of symmtery.

Answer 11

oh ok

Answer 12

thanks buddy

Answer 13

yw.