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how do you find the axis of symmetry given two pointssss without the midpoint formulaaa

 May 30, 2019
 #1
avatar+42 
-2

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

 May 30, 2019
 #2
avatar+25 
-5

how do you find it given two points? you never explained that

ProffesorNobody  May 30, 2019
 #3
avatar+105895 
+2

Let the points be   \((x_1,y_1)\;\;and\;\;(x_2,y_2) \)

 

The locus of all points equidistant from them will be the axis of symmetry.

 

\((x-x_1)^2+(y-y_1)^2=(x-x_2)^2+(y-y_2)^2\)

 

expand and simplfy that and you will have your axis of Symmetry.

 Jun 7, 2019

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