Answer:
2 units
Explanation:
The given equation graphs as a parabola that opens to the right. It can be written in the form ...
(4p)x = ay² +by +c
Interpreting the equation
When the equation is written in the form ...
(4p)x = ay² +by +c
The value of p is the focus-to-vertex distance. The length of the latus rectum (focal chord) is 4 times the value of p, so is the coefficient of x in the equation.
Application
Rewriting the given equation to the form shown above, we have ...
2x = y² +6y +13
That is, the value of 4p, the coefficient of x, is 2. The length of the focal chord is 2 units.