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Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
- Parabola-Focus-Directrix
Interactive graph to visualize transformational form of a...
- Parabola with focus and directrix
This demonstrates that the distance between the focus and...
- Parabola-Focus-Directrix
Interactive graph to visualize transformational form of a parabolic equation. 1 Expression 2: left parenthesis, "x" minus "h" , right parenthesis squared equals 4 "p" left parenthesis, "y" minus "k" , right parenthesis x − h 2 = 4 p y − k
12 mar 2024 · The parabola vertex form calculator also finds the focus and directrix of the parabola. All you have to do is to use the following equations: Focus x-coordinate: x₀ = - b/(2a); Focus y-coordinate: y₀ = c - (b² - 1)/(4a); and; Directrix equation: y = c - (b² + 1)/(4a).
This demonstrates that the distance between the focus and any point on the curve will be equal to the shortest distance between that point and the directrix. You can move the focus (green point) or the (purple) point on the curve.
19 lis 2024 · A parabola is a U-shaped curve in which all points are equidistant from a fixed point and a fixed straight line. The point is the focus of the parabola, and the line is the directrix . The focus lies on the axis of symmetry, and the directrix is parallel to either the x-axis or the y-axis.
In the graph below, point V is the vertex, and point F is the focus of the parabola. You can drag the focus, F, left-right, or up-down to investigate the formula of a parabola where the vertex is not at the origin `(0, 0)`. You can also drag the directrix up and down to see the effect on the equation of the parabola.
16 paź 2024 · Directrix: The directrix is a straight line that crosses the axis of symmetry and is perpendicular to it. The directrix is always outside of the parabola but closest to the vertex. For example, in a classic “U” parabola, adding the directrix line makes it look like you underlined the "U."
