Determine the equation of the given graph Choose the correct

Determine the equation of the given graph. Choose the correct equation. y= -1/2 (x - 4)^2 + 1 y = -1/2 (x - 4)^2 - 1 y = -1/2 x + 4)^2 - 1 y = 1/2 (x - 4)^2 - 1

Solution

in the graph the vertex of the parabola is (4,-1) moreover graph is tilted downwards hence a= -1/2

it is of the form y-k = a (x-h)^2 with (h,k ) as the vertex

we can write option b as y-(-1) = -1/2 (x-4)^2

by comparing (h,k) = (4,-1) a= -1/2

here among all the options b is correct