Which of following is the graph of y = -(x + 1)2-3?

Step-by-step explanation:

Vertex:

(1,−3)(1,-3)

Focus: (1,−134)(1,-134)

Axis of Symmetry: x=1x=1

Directrix: y=−114y=-114

Select a few x values, and plug them into the equation to find the corresponding y values. The

x values should be selected around the vertex.

1−7−41−32−43−7

xy-1-70-41-32-43-7

Graph the parabola using its properties and the selected points.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)