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Q: What is the line of symmetry for the parabola whose equation is y x2 10x 25?
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What is the line of symmetry for the parabola whose equation is y equals -x2 plus x plus 3?

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


What is an equation of the axis of symmetry of the parabola represented by y equals -x2 plus 6x-4?

Line of symmetry: x = 3


What is the directrix of a parabola?

"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


Why is the axis of symmetry halfway between two points on the parabola that have the same y-value?

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.


Are linear equations and functions the same?

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.

Related questions

What is the line of symmetry for the parabola whose equation is y -x2 x 3?

Did you mean a parabola with equation y=3x^2? The line of symmetry is x=0 or the y-axis.


What is the line of symmetry for the parabola whose equation is y equals x2 - 12x plus 7?

At: x = 6


What is the line of symmetry for the parabola whose equation is y x2 -x- 3?

-1


What is the line of symmetry for the parabola whose equation is y x2 - 12x 7?

y=x2-12x+7


What is the line of symmetry for the parabola whose equation is y equals x2 plus 10x plus 25?

When x = -5


What is the line of symmetry for the parabola whose equation is y equals 3x2 plus 24x - 1?

Vertical line of symmetry cuts through x = -4 - (sqrt of 3)


An equation of a parabola that has x equals 2 as its axis of symmetry is?

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).


What is the line of symmetry for the parabola whose equation is y equals -x2 plus x plus 3?

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


What is an equation of the axis of symmetry of the parabola represented by y equals -x2 plus 6x-4?

Line of symmetry: x = 3


Where is the line of symmety located on a parabola?

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.


Y equals ax2 - 2x - 3 The line of symmetry is x equals 1 Does an equal 1 or -1 or 2?

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).


Can a figure have line symmetry and not rotational symmetry?

Yes. An ellipse (oval) has two lines of symmetry, but not a rotational symmetry. A parabola has one line and no rotation.