Find the Directrix (x-1)^2=-6(y-3)

Math
Isolate to the left side of the equation.
Tap for more steps…
Rewrite the equation as .
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Add to both sides of the equation.
Reorder terms.
Use the vertex form, , to determine the values of , , and .
Find the vertex .
Find , the distance from the vertex to the focus.
Tap for more steps…
Find the distance from the vertex to a focus of the parabola by using the following formula.
Substitute the value of into the formula.
Simplify.
Tap for more steps…
Cancel the common factor of and .
Tap for more steps…
Rewrite as .
Move the negative in front of the fraction.
Combine and .
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Find the directrix.
Tap for more steps…
The directrix of a parabola is the horizontal line found by subtracting from the y-coordinate of the vertex if the parabola opens up or down.
Substitute the known values of and into the formula and simplify.
Find the Directrix (x-1)^2=-6(y-3)
Scroll to top