The correct statement is that the equation of a parabola is y = -0.3776x².
What is the parabola?
Parabola is the locus of a point that moves so that it is always the same distance from a non-movable point and non-movable line. The non-movable point is called the focus and the non-movable line is called the directrix. And the equation will be quadratic.
Given
A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide.
To find
The equation of the parabola.
How to find an equation?
We know the equation of a parabola is given by,
y = ax² + c
It is passing through the origin, then the value of c will be 0, then
y = ax²
At x = 14, the value of y will be -74. then
-74 = a (14)²
-74 = 196 a
a = - 0.3776
So the equation become
y = -0.3776 x²
Thus, the equation of a parabola is y = -0.3776 x².
More about the parabola link is given below.
https://brainly.com/question/8495268
