Question

an arch at a new amusement park is constructed with two vertical walls and a parabolic arch top, where x represents the horizontal distance in feet and f(x) represents the height in feet. the y - axis represents the vertical left edge of the arch. since the arch and its base are symmetrical, complete the equation for the line containing the vertical, right edge of the arch. x =

Explanation:

Step1: Identify symmetry property

The arch is symmetric about the vertical line passing through its vertex. The vertex is at $(30,45)$. The left - hand side of the arch starts at $x = 0$.

Step2: Calculate right - hand side position

Since the arch is symmetric and the distance from the left - hand side ($x = 0$) to the vertex ($x = 30$) is 30 units, the right - hand side of the arch will be at a distance of 30 units to the right of the vertex. So the $x$ - coordinate of the vertical right - hand side of the arch is $30+30=60$.

Answer:

$60$