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 + 5

B. x = 3 (y + 3)^2 +5

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

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

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given (h, k ) = (5, - 3 ), then

y = a(x - 5)² - 3 and with a = - 3, then

y = - 3(x - 5)² - 3 ← is a possible equation

so, converting firstly the mixed fractions to improper fractions and then "adding".