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Directrix of Parabola with its vertex at h, k opening vertically Solution

STEP 0: Pre-Calculation Summary
Formula Used
directrix = Y coordinate of vertex of Parabola-(1/4*Focal distance of Parabola)
x = Yvertex_Parabola-(1/4*Dfocal_Parabola)
This formula uses 2 Variables
Variables Used
Y coordinate of vertex of Parabola - Y coordinate of vertex of Parabola is a point corresponding to vertex of Parabola and Y-axis. (Measured in Hundred)
Focal distance of Parabola - Focal distance of Parabola is the distance from vertex of parabola to the focus. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Y coordinate of vertex of Parabola: 3 Hundred --> 3 Hundred No Conversion Required
Focal distance of Parabola: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
x = Yvertex_Parabola-(1/4*Dfocal_Parabola) --> 3-(1/4*5)
Evaluating ... ...
x = 1.75
STEP 3: Convert Result to Output's Unit
1.75 Meter -->175 Centimeter (Check conversion here)
FINAL ANSWER
175 Centimeter <-- Directrix
(Calculation completed in 00.000 seconds)

4 Axis of Symmetry and Directrix of Parabola Calculators

Directrix of Parabola with its vertex opening horizontally
directrix = X coordinate of vertex of Parabola- (1/4*Focal distance of Parabola) Go
Directrix of Parabola with its vertex at h, k opening vertically
directrix = Y coordinate of vertex of Parabola-(1/4*Focal distance of Parabola) Go
Axis of symmetry of Parabola with its vertex at h, k opening horizontally
axis_of_symmetry_of_parabola = Y coordinate of vertex of Parabola Go
Axis of symmetry of Parabola with its vertex at h, k opening vertically
axis_of_symmetry_of_parabola = X coordinate of vertex of Parabola Go

Directrix of Parabola with its vertex at h, k opening vertically Formula

directrix = Y coordinate of vertex of Parabola-(1/4*Focal distance of Parabola)
x = Yvertex_Parabola-(1/4*Dfocal_Parabola)

How to calculate the directrix of parabola with its vertex at ( h, k)?

A parabola is the set of points in a plane that are the same distance from a given point and a given line in that plane. The given point is called the focus, and the line is called the directrix.

How to Calculate Directrix of Parabola with its vertex at h, k opening vertically?

Directrix of Parabola with its vertex at h, k opening vertically calculator uses directrix = Y coordinate of vertex of Parabola-(1/4*Focal distance of Parabola) to calculate the Directrix, Directrix of Parabola with its vertex at h, k opening vertically is defined as the line which is at same distance from set of points of parabola. Directrix and is denoted by x symbol.

How to calculate Directrix of Parabola with its vertex at h, k opening vertically using this online calculator? To use this online calculator for Directrix of Parabola with its vertex at h, k opening vertically, enter Y coordinate of vertex of Parabola (Yvertex_Parabola) & Focal distance of Parabola (Dfocal_Parabola) and hit the calculate button. Here is how the Directrix of Parabola with its vertex at h, k opening vertically calculation can be explained with given input values -> 175 = 3-(1/4*5).

FAQ

What is Directrix of Parabola with its vertex at h, k opening vertically?
Directrix of Parabola with its vertex at h, k opening vertically is defined as the line which is at same distance from set of points of parabola and is represented as x = Yvertex_Parabola-(1/4*Dfocal_Parabola) or directrix = Y coordinate of vertex of Parabola-(1/4*Focal distance of Parabola). Y coordinate of vertex of Parabola is a point corresponding to vertex of Parabola and Y-axis & Focal distance of Parabola is the distance from vertex of parabola to the focus.
How to calculate Directrix of Parabola with its vertex at h, k opening vertically?
Directrix of Parabola with its vertex at h, k opening vertically is defined as the line which is at same distance from set of points of parabola is calculated using directrix = Y coordinate of vertex of Parabola-(1/4*Focal distance of Parabola). To calculate Directrix of Parabola with its vertex at h, k opening vertically, you need Y coordinate of vertex of Parabola (Yvertex_Parabola) & Focal distance of Parabola (Dfocal_Parabola). With our tool, you need to enter the respective value for Y coordinate of vertex of Parabola & Focal distance of Parabola and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Directrix?
In this formula, Directrix uses Y coordinate of vertex of Parabola & Focal distance of Parabola. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • axis_of_symmetry_of_parabola = Y coordinate of vertex of Parabola
  • axis_of_symmetry_of_parabola = X coordinate of vertex of Parabola
  • directrix = Y coordinate of vertex of Parabola-(1/4*Focal distance of Parabola)
  • directrix = X coordinate of vertex of Parabola- (1/4*Focal distance of Parabola)
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