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On this page, we will practice drawing the axis on a graph, learning the formula, stating the equation of the axis of symmetry when we know the parabola's equation Explore how the graph and equation relate to the axis of symmetry , by using our interactive program below .
- Vertex Form
If a is positive then the parabola opens upwards like a...
- Interactive Parabola
Explore the relationship between the equation and the graph...
- Vertex Form
Oct 8, 2024 · This is the equation of the axis of symmetry for parabolas in the standard form y = ax 2 + bx + c. Similarly, if the parabola opens horizontally (i.e., left/right), we can get the equation for the axis of symmetry by finding the midpoint of the y-intercepts. Finding the Axis of Symmetry of the Parabola y = 2x2 + 8x + 5.
How do you find the axis of symmetry of a parabola? What does the formula x=-b/2a mean? This video explains what the axis of symmetry is, what the formula is...
- 2 min
- 3.3K
- You Can Learn Math with Alyssa
We learn how to find the equation of a parabola's axis of symmetry using its x intercepts, also called its zero or roots. The method is explained with severa...
- 5 min
- 4.9K
- Radford Mathematics
- Axis of Symmetry Definition
- Standard Form
- Vertex Form
The axis of symmetry is an imaginary line that divides a figure into two identical parts such that each part is a mirror reflection of one another. When the figure is folded along the axis of symmetry, the two identical parts superimpose. A parabolahas one line of symmetry. The axis of the symmetry is the straight line that divides a parabola into ...
The quadratic equation in standard formis, y = ax2+ b x+c where a, b, and c are real numbers. Here, the axis of symmetry formula is: x = - b/2a.
The quadratic equation in vertex form is, y = a (x-h)2 + k where (h, k) is the vertex of the parabola. Here, the axis of symmetry formula is x = h. The axis of symmetry always passes through the vertex of the parabola. Thus identification of the vertex helps us to calculate the position of the axis of symmetry. Axis of symmetry formula for a parabo...
Aug 3, 2023 · The vertex form of a quadratic equation is y = a (x – h) 2 + k, Equation of axis of symmetry is, x = h, here (h, k) = vertex of the parabola. We obtain the vertex of the function (x, y) by substituting the value of x in the standard form of the equation and get the value of y. Let us solve some examples involving the above formulas and concepts.
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Examples of Axis Of Symmetry Of Parabola. Example 1: Find the axis of symmetry of parabola x 2 = -12y. Solution: The given equation of parabola x 2 = -12y can be compared with the standard equation of the parabol x 2 = -4ay. This parabola represents an inverted U form of a parabola with the y-axis as its axis.
