What is the line that cuts a graph of a quadratic function in half?

Axis of symmetry

Step-by-step explanation:

The maximum or minimum point on the parabola is the vertex

To cut the parabola into two congruent halves, we use vertex

A vertical line that crosses the vertex cuts the parabola in two halves.

The vertical line that crosses the vertex is called as axis of symmetry.

So, the axis of symmetry  is the line that cuts a graph of a quadratic function in half.

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)