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Do all functions of the form yax2 have the same vertex and axis of symmetry?
Wiki User
∙ 11y ago
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I suspect the answer is yes, but it all depends on the exact form of the equation.
Wiki User
∙ 11y ago
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What is axisymmetry?
Axisymmetry is a form of symmetry around an axis - also known as rotational symmetry.
Can two parabolas of the form with different vertices have the same axis of 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.
What is the axis of symmetry of -3x2 plus 2x minus 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
What is symmmetry?
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.
A feature that is common to all exponential functions of the form Fx equals bx is that they have a common horizontal asymptote at the axis?
x-axis
Do all functions of the form y equals ax2 have the same vertex and axis of symmetry?
axis of symmetry is x=0 Vertex is (0,0) So the answer is : YES
What are the vertex and the axis of symmetry of the equation y equals 2x² plus 4x - 10?
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)
Which equation represents the axis of symmetry of the graph of the equation y equals x2-6x 5?
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.
What form of a quadratic function would be graphed having the vertex at the same point as the y- intercept?
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.
What is axisymmetry?
Axisymmetry is a form of symmetry around an axis - also known as rotational symmetry.
Can two parabolas of the form with different vertices have the same axis of 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 equation for the axis of symmetry is?
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
Can you write a poem based on the standard form the axis of symmetry and the vertex of a quadratic equation?
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
What is the formula for the axis of symmetry of any quadratic in standard form?
It is y = -b/(2a)
What is the axis of symmetry of -3x2 plus 2x minus 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
Adult echinodermata have symmetry?
Adult echinoderms have pentaradial symmetry, meaning they are typically organized in a five-fold radial pattern around a central axis. This unique form of symmetry is characteristic of this group of marine animals.
Does a triangle have a line of symmetry?
It depends on the type of triangle: -- scalene triangles have three sides of different length, and no lines of symmetry -- isoceles triangles have one line of symmetry that includes the apex -- equilateral triangles have three lines of symmetry, all bisectors through a vertex
