Questions: shape of a parabola. The reflector and a cross section are shown below. Solar reflector Cross sect by the equation h=1/24 d^2, where d is the distance, in inches (in.), from the height, in inches, of the reflector at its highest point?

Solution Steps

The given equation is \( h = \frac{1}{24} d^2 \), where \( h \) is the height in inches and \( d \) is the distance in inches from the center.

The highest point of the reflector is at the vertex of the parabola. For the given equation, the vertex is at \( d = 0 \).

Substitute \( d = 0 \) into the equation \( h = \frac{1}{24} d^2 \): \[ h = \frac{1}{24} (0)^2 = 0 \]

Final Answer