Tell whether y=-3 (x+1) ^2+4 has a minimum or a maximum value. Then find that value.

maximum value at y = 4

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 = - 3 (x + 1) ² + 4 is in this form

with vertex = ( - 1, 4) and a = - 3

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

here a < 0

( - 1, 4) is a maximum and maximum value = 4

X=-1 is your maximum value