![]() ![]() The formula used to find the axis of symmetry for a quadratic equation with standard form as y = ax 2 + bx + c, is: x = -b/2a. What is the Formula to Calculate the Axis of Symmetry for Standard Form? If the parabola is in vertex form y = a(x-h) 2 + k, then the formula is x = h. ![]() The axis of symmetry formula is given as, for a quadratic equation with standard form as y = ax 2 + bx + c, is: x = -b/2a. The symmetry cuts any geometric shape into two equal halves. The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form. For example, a square has 4 and a rectangle has 2 axes of symmetry. The axis of symmetry is an imaginary straight line that divides the shape into two identical parts or that makes the shape symmetrical. A regular polygon of 'n' sides has 'n' axes of symmetry. The axis of symmetry is an imaginary line that divides a figure into two identical parts such that each part is a mirror reflection of one another. A regular polygon of 'n' sides has 'n' axes of symmetry.įAQs on Axis of Symmetry What is Axis of Symmetry in Algebra?.For parabola y = ax 2+ b x+c, the axis of symmetry is given by x = -b/2a.An axis of symmetry is an imaginary line that divides a figure into two identical parts that are mirror images of one another.Therefore, the equation of the axis of symmetry is x = 6.Įxample: If the axis of symmetry of the equation y = qx 2 – 32x – 10 is 8, then find the value of q. Suppose the two points (3, 4) and (9, 4) are points on a parabola, then the vertex passes through the intercept which forms the midpoint of these given points. We know that y = -b/2a is the equation of the axis of symmetry.ģ) If two points are at the same distance from the vertex of the parabola are given, then we determine the equation of the axis of symmetry by finding the midpoint of those points. This parabola is horizontal and the axis of symmetry is horizontal too. x = 4y 2+5y+3.Ĭomparing with the standard form of the quadratic equation, we get a = 4, b = 5, and c = 3. X = 1.5 is the axis of symmetry of the parabola y = x 2- 3x + 4.Ģ) Let us consider another example. We know that x = -b/2a is the equation of the axis of symmetry. Comparing this with the equation of the standard form of the parabola (y = ax 2 + bx + c), we have Let us identify the axis of symmetry for the given parabola using the formula learned in the previous section.ġ) Consider equation y = x 2- 3x + 4. ![]()
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