The vertex of the parabola below is at the point (5, -3). which of the equations below could be the one for this parabola?A. x= -3(y + 4)^2 + 5B. x = 3 (y + 3)^2 +5C. y = -3 (x - 5)^2 - 3D. x = 3 (y - 5)^2 - 3​

Mathematics · High School · Tue Nov 03 2020

Answered on

For finding the equation of parabola  at vertices we use the general equation of parabola at vertices point (h,k) is given 

y=a(x-h)^2+k…….(1)

The vertex of the parabola equation is at point (5, -3) by equation (1) 

y=a(x-5)^2-3

We can't find the value of a because in the question we don't have any information about  “a” so option C is correct.

y=-3(x-5)^2-3.