write the equation of the axis of symmetty, and find the coordinates of the vertex of the graph of y=-x2-4x+5

The axis of symmetry is x = - 2 and the vertex is (-2, 9)

Step-by-step explanation:

To find the vertex of the standard form equation, use the formula x = - b/2a. Then substitute - b/2a into the equation and solve for y.

Here a = - 1, b = - 4 and c = 5.

Substitute the values and solve.

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

x = 4/-2

x = - 2

Substitute x = - 2.

y = - (-2) ^2 - 4 (-2) + 5

y = - 4 + 8 + 5

y = 9

So the axis of symmetry is x = - 2 and the vertex is (-2, 9).