What is the y value of this maximum

Hello!

The y-value of this maximum is found by finding the vertex of this graph.

To find the vertex of the graph, use the formula: h = -b/2a, then substituting the value into the original equation, y = -x² - 4x - 1.

h = -(-4)/2(-1)

h = 4/-2

h = -2

The x-value of the vertex is -2.

y = -(-2)² - 4(-2) - 1

y = -(4) + 8 -1

y = -4 + 7

y = 3

The y-value of the vertex is 3.

Therefore, the y-value of the maximum is y = 3.