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2. vertex min or max axis of symmetry y - intercept direction of opening

Question

  1. vertex min or max axis of symmetry y - intercept direction of opening

Explanation:

Step1: Identify vertex

The vertex is the lowest point of the parabola. By observing the graph, the vertex is at the point $(1, - 4)$.

Step2: Determine min or max

Since the parabola opens upwards, it has a minimum value. The minimum occurs at the vertex.

Step3: Find axis of symmetry

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

Step4: Locate y - intercept

The y - intercept is the point where the graph crosses the y - axis. By looking at the graph, the y - intercept is at the point $(0,-3)$.

Step5: Determine direction of opening

The parabola opens upwards as the graph extends upwards on both sides from the vertex.

Answer:

PropertyValue
Min or MaxMin
Axis of Symmetry$x = 1$
y - intercept$(0,-3)$
Direction of OpeningUpwards