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Find if the function is symmetric about x-axis, y-axis or origin step-by-step. A function basically relates an input to an output, there’s an input, a relationship and an output. For every input... AI may present inaccurate or offensive content that does not represent Symbolab's views.
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Axis of symmetry (a.k.a line of symmetry) is a line that divides a symmetrical shape into two congruent parts. Formula for a quadratic function f (x) = ax² + bx + c: Example. Find the Axis of symmetry for f(x) = x² + 4x −1. Solution. Step 1: Take the given function and find the values of a & b.
the same distance from the central point. but in the opposite direction. Check to see if the equation is the same when we replace both x with −x and y with −y. Example: does y = 1/x have Origin Symmetry? Start with: y = 1/x. Replace x with − x and y with − y: (−y) = 1/ (−x) Multiply both sides by − 1:
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Oct 3, 2018 · Use an Equation to Find the Line of Symmetry. F=q (E+v^B)/Wikimedia Commons/CC BY-SA 3.0. The axis of symmetry is also defined by the following equation: x = - b /2 a. Remember, a quadratic function has the following form: y = ax2 + bx + c.
Discover over 4 free and ready-to-use GeoGebra resources for grades 4-8 for exploring & practicing symmetry in figures: identify lines & create symmetrical shapes
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The lowest value given by a squared term is 0, which means that the minimum value of the term \((x - 3)^2 - 5\) is given when \(x = 3\). This also gives the equation of the line of symmetry for ...