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