1. The problem states a parabola given by the equation $$Y = a(x-u)x^2 + 5$$ passing through points A(2,7) and B(ç,5). We need to find the constants $a$ and $u$ and verify if the points satisfy the equation. 2. Substitute point A(2,7) into the parabola equation: $$ 7 = a(2 - u)2^2 + 5 $$ which simplifies to $$ 7 = a(2 - u)4 + 5 $$ and then $$ 7 - 5 = 4a(2 - u) $$ $$ 2 = 4a(2 - u) $$ $$ \frac{2}{4} = a(2 - u) $$ $$ \frac{1}{2} = a(2 - u) $$ 3. Substitute point B(ç,5). Note the point's x-coordinate is 'ç', which is not a number, so we cannot proceed without clarification. Assuming 'ç' is a typographical error, if 'ç' is a variable or unknown x-coordinate, then: $$ 5 = a(ç - u)ç^2 + 5 $$ Subtract 5 from both sides: $$ 0 = a(ç - u)ç^2 $$ This implies either $a=0$, or $ç=u$, or $ç=0$ for the equation to hold true. 4. Since without clarification of 'ç' we cannot find exact $a$ and $u$, but from step 2 we have a relation: $$ a(2 - u) = \frac{1}{2} $$ which is the best we can do now. Final answer: The relation between $a$ and $u$ is $$a(2 - u) = \frac{1}{2}$$ and because point B's x-coordinate 'ç' is not defined, we cannot determine $a$ and $u$ uniquely.