Question

cyu 4 vertex and standard form algebra 2 l identify attributes of the quadratic function 1. vertex min or max axis of symmetry y - intercept direction of opening

Explanation:

Step1: Identify vertex

The vertex is the highest 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 down - ward, it has a maximum value. The maximum value is \(y = 4\) at \(x=-1\).

Step3: Find axis of symmetry

The axis of symmetry is a vertical line passing through the vertex. For a vertex \((h,k)\), the equation of the axis of symmetry is \(x = h\). 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 \((0,3)\), so \(y = 3\).

Step5: Determine direction of opening

The parabola opens downward as the graph forms an upside - down 'U' shape.

Answer:

Attribute	Value
Min or Max	Max, \(y = 4\)
Axis of Symmetry	\(x=-1\)
y - intercept	\(y = 3\)
Direction of Opening	Downward