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y = ax^2 + c where a and c are constants and a is not 0.
Yes, it does.
To find the equation of the axis of symmetry for a parabola given in the standard form (y = ax^2 + bx + c), you can use the formula (x = -\frac{b}{2a}). This value of (x) represents the vertical line that divides the parabola into two mirror-image halves. If the parabola is represented in vertex form (y = a(x-h)^2 + k), the axis of symmetry is simply the line (x = h).
First the formula is g(x)=ax2+bx+c First find where the parabola cuts the x axis Then find the equation of the axis of symmetry Then
The vertical line containing the vertex of a parabola is called the axis of symmetry. This line is perpendicular to the directrix and divides the parabola into two mirror-image halves. For a parabola defined by the equation (y = ax^2 + bx + c), the axis of symmetry can be found using the formula (x = -\frac{b}{2a}).
Did you mean a parabola with equation y=3x^2? The line of symmetry is x=0 or the y-axis.
Its extremum is on its axis of symmetry.
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).
x=-b/2a [negative B over 2A]
Line of symmetry: x = 3
y = ax^2 + c where a and c are constants and a is not 0.
Yes, it does.
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.
To find the equation of the axis of symmetry for a parabola given in the standard form (y = ax^2 + bx + c), you can use the formula (x = -\frac{b}{2a}). This value of (x) represents the vertical line that divides the parabola into two mirror-image halves. If the parabola is represented in vertex form (y = a(x-h)^2 + k), the axis of symmetry is simply the line (x = h).
First the formula is g(x)=ax2+bx+c First find where the parabola cuts the x axis Then find the equation of the axis of symmetry Then
Parallel to the y-axis, going through the highest/lowest point of the parabola (if the parabola is negative/positive, respectively).
Once you calculate the X coordinate using the axis of symmetry (X=-b/2a), you plug that value in for all of the X's in the equation of the parabola. You then solve the equation for the value of Y.