Question

1.
vertex: _____________
axis of symmetry: ____________
opens upward / downward

Explanation:

Step1: Find the Vertex

The vertex of a parabola is the lowest (or highest) point. From the graph, the lowest point is at (1, -3).

Step2: Find the Axis of Symmetry

The axis of symmetry is the vertical line passing through the vertex. For a parabola, it has the equation \( x = h \) where \( (h, k) \) is the vertex. So here, \( x = 1 \).

Step3: Determine Opening Direction

Since the parabola opens upwards (the arms go up), it opens upward.

Answer:

Vertex: \((1, -3)\)
Axis of Symmetry: \(x = 1\)
Opens Upward