Question

Find the vertex of y=-2(x-4)2 +3 and identify it as a minimum or maximum

Answer 1

3rd option

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

y = - 2(x - 4)² + 3 ← is in vertex form

with vertex = (4, 3 )

• if a > 0 then vertex is minimum

• if a < 0 then vertex is maximum

here a = - 2 < 0

then vertex (4, 3 ) : maximum