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For a quadratic equation y=Ax2+Bx+C, the line of symmetry is given by x=-B/2ASo for the equation y=-x2+x+3, B is 1 and A is -1, so the line of symmetry isx=1/2
Line of symmetry: x = 3
"From the geometric point of view, the given point is the focus of the parabola and the given line is its directrix. It can be shown that the line of symmetry of the parabola is the line perpendicular to the directrix through the focus. The vertex of the parabola is the point of the parabola that is closest to both the focus and directrix."-http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/parabola.htm"A line perpendicular to the axis of symmetry used in the definition of a parabola. A parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus, or set of points, such that the distance to the focus equals the distance to the directrix."-http://www.mathwords.com/d/directrix_parabola.htm
The axis of symmetry is a line where if you were to fold the graph in half on that line, every point should perfectly match up with it's opposite.
No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.
Did you mean a parabola with equation y=3x^2? The line of symmetry is x=0 or the y-axis.
At: x = 6
-1
y=x2-12x+7
When x = -5
Vertical line of symmetry cuts through x = -4 - (sqrt of 3)
How about y = (x - 2)2 = x2 - 4x + 4 ? That is the equation of a parabola whose axis of symmetry is the vertical line, x = 2. Its vertex is located at the point (2, 0).
For a quadratic equation y=Ax2+Bx+C, the line of symmetry is given by x=-B/2ASo for the equation y=-x2+x+3, B is 1 and A is -1, so the line of symmetry isx=1/2
Line of symmetry: x = 3
The line of symmetry located on a parabola is right down the center. A parabola is a U shape. Depending on the direction of the parabola it either has a x axis of symmetry or y axis of symmetry. You should have two equal sides of the parabola.
For the equation ax2-2x-3, the quadratic coefficients are:a=a,b=-2c=-3.The equation of the line of symmetry is:x= -b/2aAs we know that the line of symmetry is x=1,we get:1 = 2/2a, so2a = 2and a = 1.We get a bowl-shaped parabola, whose lowest point is (1,-4).
Yes. An ellipse (oval) has two lines of symmetry, but not a rotational symmetry. A parabola has one line and no rotation.