Answer:
1.961x^2 - 8.647.
Step-by-step explanation:
I'm assuming the area of the triangle is 4.05 unit^2.
RQ is perpendicular to the x-axis.
The length of RQ = 9 so the area of the triangle
= 1/2 *9 * PQ = 4.05
PQ = 4.05 / 4.5 = 0.9.
So the value of x1 = 3 - 0.9 = 2.2.
The vertex is on the y-axis so the equation will be of the form ax^2 + c = 0.
So, as P (2.1, 0) and R(3, 9) are points on the parabola we have the system:
(2.1)^2a + c = 0
(3)^2a + c = 9
4.41 a + c = 0
9a + c = 9 Subtract:
4.59a = 9
a = 1.961
and c = -4.41* 1.961 = - 8.647,
