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

maximum value

Step-by-step explanation:

Given a parabola in vertex form

y = a (x - h) ² + k

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

• If a > 0 then minimum value of k

• If a < 0 then maximum value at k

Given

y = - 3 (x + 1) ² + 4

a = - 3 < 0 ⇒ maximum value

The maximum value is the y - coordinate of the vertex

That is k, thus maximum value = 4