Find the Axis of Symmetry x-4=1/4(y+1)^2

Math
Isolate to the left side of the equation.
Tap for more steps…
Combine and .
Add to both sides of the equation.
Reorder terms.
Use the vertex form, , to determine the values of , , and .
Since the value of is positive, the parabola opens right.
Opens Right
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…
Combine and .
Simplify by dividing numbers.
Tap for more steps…
Divide by .
Divide by .
Find the focus.
Tap for more steps…
The focus of a parabola can be found by adding to the x-coordinate if the parabola opens left or right.
Substitute the known values of , , and into the formula and simplify.
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
Find the Axis of Symmetry x-4=1/4(y+1)^2

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top