C. The depth of the dish is 96 inches.
Coordinate points of the parabola
The symmetry of the parabola indicates that when the depth is 6 inches, that the edge is 48 inches (half of 96) to the right and left of the axis of symmetry.
This implies that this parabola passes through (48, 6).
How high is the focus is above the vertex?
To determine how high the focus is above the vertex. The conic form of a parabola with its vertex at the origin is given as;
y = (1/4c)x²
where;
- c is the distance between the focus and the vertex.
From the equation above, we can substitute the value of our coordinates and solve for c.
6 = (1/4c)(48²)
24c = 2304
c = 2304/24
c = 96 inches
Thus, the depth of the dish is 96 inches.
Learn more about symmetry of a parabola here: https://brainly.com/question/21191648
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