Answer: OPTION D.
Step-by-step explanation:
The vertex form of a quadratic function is:

Where (h, k) is the vertex of the parabola and "a" is the coefficient of the squared in the parabola's equation.
We know that the vertex of this parabola is at (5,5) and we also know that when the x-value is 6, the y-value is -1.
Then we can substitute values into
and solve for "a". This is:
Use Pythagorean's Theorem to solve for the missing leg length.

with a being the length of the missing leg. Simplifying we have

and
. If we are told to express our answer to the nearest tenth of an inch, then we are simply plugging that into our calculator to get 26.45 or, rounded correctly, 26.5