Find the Quadratic Equation Passing Through Point (5,4)

Find the corresponding algebraic representation of the drawing:

To solve this problem, follow these steps:

• Identify the point related to the parabola, which is given as $(5, 4)$.
• This point is likely the vertex of the parabola. The vertex form equation is $y = (x-h)^2 + k$.
• Substitute the vertex coordinates $(h, k) = (5, 4)$ into the vertex form.

Using these steps, substitute $h = 5$ and $k = 4$ into the vertex form:

$y = (x - 5)^2 + 4$

This matches the given point and reflects the parabola intersecting or having its vertex at (5, 4).

Therefore, the algebraic representation of the drawing is $y = (x-5)^2 + 4$.