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if the zeros of a quadratic formula function F are -2 and 4 what is the equation of the axis of symmetry F?​

User Mvlupan
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1 Answer

8 votes

Option 2 is correct.

The axis of symmetry is, x= 3

Explanation:

Given: The zeros of the quadratic function f are 1 and 5.

If the zeroes are at x =1 and at x =5, then,

the factor equations were x- 1=0 and x-5 = 0.

Then. the factors were x -1 and x-5 .

Any factorable quadratic is going to have just the two factors, so these are must be them.

Then, the original quadratic was :

or

[by distributive property ]

Combine like terms;

......[1]

A quadratic equation is of the form: ; where a, b, c are the coefficient ]

On comparing equation [1] with general equation we have;

the value of a = 1 , b = -6 and c =5

Axis of symmetry states that a parabola is a vertical line that divides the parabola into two congruent halves.

i,e

Then;

Axis of symmetry (x) =

Therefore, the equation of the axis of symmetry is; x = 3

User DuyLuc
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