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- To find the axis of symmetry, we use the formula: $$x = -frac {b} {2a}$$x =−2ab Here, $$a = 2$$a = 2, $$b = 4$$b= 4, and $$c = 1$$c= 1. Plugging in the values, we get: $$x = -frac {4} {2 times 2} = -frac {4} {4} = -1$$x =−2×24 = −44 = −1 So, the axis of symmetry for this parabola is the vertical line $$x = -1$$x =−1
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What is the Axis of Symmetry Formula? The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form. The symmetry cuts any geometric shape into two equal halves. 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.
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.
Oct 8, 2024 · The axis of symmetry of a parabola is a vertical line that divides a parabola into two halves. This line passes through the vertex of the parabola, which is the highest or lowest point of the graph, depending on its orientation.
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.
For a parabola with a vertex at `(h, k)` that opens leftwards or rightwards, the axis of symmetry equation is \( y = k \). Axis of Symmetry Formula in Standard Form and Vertex Form. The axis of symmetry formula helps determine the line that divides a parabola into two symmetrical halves.
Axis of Symmetry Formula. 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.
Jan 3, 2024 · Axis of Symmetry Examples. Let’s take some practical examples to illustrate the axis of symmetry. Suppose we have the equation y = 2x² – 8x + 7. Here, a = 2 and b = -8. By using our formula, we find the axis of symmetry is x = - (-8)/2*2 = 2.
