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I suspect the answer is yes, but it all depends on the exact form of the equation.
Axisymmetry is a form of symmetry around an axis - also known as rotational symmetry.
The form is not specified in the question so it is hard to tell. But two parabolas with different vertices can certainly have the same axis of symmetry.
The axis of symmetry for a parabola of the form y = ax2 + bx + c is x = -b/2a So the axis is x = -2/2*(-3) or x=1/3
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Symmetry is the exact correspondence of form and constituent configuration on opposite sides of a dividing line or plane or about a center or an axis.
axis of symmetry is x=0 Vertex is (0,0) So the answer is : YES
In the form y = ax² + bx + c the axis of symmetry is given by the line x = -b/2a The axis of symmetry runs through the vertex, and the vertex is given by (-b/2a, -b²/4a + c). For y = 2x² + 4x - 10: → axis of symmetry is x = -4/(2×2) = -4/4 = -1 → vertex = (-1, -4²/(4×2) - 10) = (-1, -16/8 - 10) = (-1, -12)
Assume the expression is: y = x² - 6x + 5 Complete the squares to get: y = x² - 6x + 9 + 5 - 9 = (x - 3)² - 4 By the vertex form: y = a(x - h)² + k where x = h is the axis of symmetry x = 3 is the axis of symmetry.
The function would be in the form of ax2+c. The axis of symmetry would be the y-axis, or x = 0, because b would be zero. Likewise, the y-intercept is not important, as any value of c will still yield a vertex at the y-intercept.
Axisymmetry is a form of symmetry around an axis - also known as rotational symmetry.
The form is not specified in the question so it is hard to tell. But two parabolas with different vertices can certainly have the same axis of symmetry.
Your equation must be in y=ax^2+bx+c form Then the equation is x= -b/2a That is how you find the axis of symmetry
It is y = -b/(2a)
Lewis Carroll wrote these lines about a quadratic:Yet what are all such gaieties to meWhose thoughts are full of indices and surds?x*x + 7x + 53 = 11/3
The axis of symmetry for a parabola of the form y = ax2 + bx + c is x = -b/2a So the axis is x = -2/2*(-3) or x=1/3
This is radial symmetry. Animals with radial body symmetry display a regular arrangement of body parts around a central axis, usually in a circular pattern.
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