Question

How do I find the Axis of Symmetry for a parabola

Answer 1

Answer:

The equation of the axis of symmetry of the parabola is x = h,

 where h is the x-coordinate of the vertex point

Step-by-step explanation:

* The axis of symmetry is the line which divides the

 shape into two congruent parts

* The general form of the quadratic equation is:

 ax² + bx + c = 0

* The quadratic equation is represented graphically by parabola

∵ The parabola has minimum point or maximum point

∴ The axis of symmetry of the parabola is passing through this point

   This point is called the vertex point or the turning point

- Lets find this point:

* the x-coordinate of this point calculated from the equation

 x- coordinate of the vertex point h = -b/2a

- where b is the coefficient of x and a is the coefficient of x²

∴  The equation of the axis of symmetry of the parabola is x = -b/2a

EX:

- If ⇒ x² - 4x + 4 = 0

∵ a = 1 , b = -4

∴ h = -(-4)/2(1) = 2

∴ The equation of the axis of symmetry of the parabola is x = 2

The graph show you the axis of symmetry

Answer 2

Answer:

Explanation given below.

Step-by-step explanation:

The first step is to put the parabola in the form  $ax^2+bx+c$ , which is the standard form of a parabola

Note: a is the coefficient before x^2 term, b is the coefficient before x term, and c is the independent constant term

The axis of symmetry divides the parabola symmetrically. The axis of symmetry has the equation  $x=-\frac{b}{2a}$

Where a and b are the respective values shown above

So, that is how you get the axis of symmetry of any parabola.