Axis of symmetry and vertex of the parabola fx x2 2x 3 ar

Axis of symmetry and vertex of the parabola f(x) = -x^2 - 2x + 3 are a. Vertex =(-1, 4) and Axis of symmetry, line x = -1 b. Vertex =(-1, 4) and Axis of symmetry, line y = -1 c. Vertex =(-1, 4) and Axis of symmetry: line y = 4 d. Vertex = (-1, 4) and Axis of symmetry: line x = 1 e. Vertex = (4, -1) and Axis of symmetry: line x = -1

Solution

f(x)= -x²-2x+3

vertex x=-b/2a= -(-2)/- 2=-1

f(-1)= -1+2+3=4

vertex= (-1,4)

axis of symmetry

x+1=0

x=-1

correct option is a