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The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, thereby creating one part as the mirror image of the other part. When folded along the axis of the symmetry, the two parts get superimposed.
Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves. On this page, we will practice drawing the axis on a graph, learning the formula, stating the equation of the axis of symmetry when we know the parabola's equation.
Aug 3, 2023 · The axis of symmetry is an imaginary line that makes the shape symmetrical about it. In other words, it divides the shape into two halves such that each half is a mirror image of the other. If we fold and unfold an object along the axis of symmetry, the two sides are identical.
Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object. The word symmetry implies balance. Symmetry can be applied to various contexts and situations.
Oct 8, 2024 · According to the definition, the axis of symmetry is the midpoint of its two x-intercepts. To find the x-intercept, substituting y = 0 in the equation (i), we get. 0 = ax 2 + bx. ⇒ x (ax + b) = 0. ⇒ x = 0 and x = − b 2 a. Now, the mid-point formula is x = (x 1 + x 2) 2. ⇒ x = (0 + (− b a)) 2.
The axis of symmetry is a vertical line that divides a parabola into two mirror-image halves. It passes through the vertex of the parabola and has the equation $x = -\frac{b}{2a}$ for a quadratic function in standard form.
Jan 5, 2024 · If the degree of your polynomial is 2, you can find the axis of symmetry by plugging the numbers directly into the axis of symmetry formula. Solve the formula and the answer you get is the x-intercept of the axis of symmetry.
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