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Identifying Characteristics of Quadratic Functions

Identifying Characteristics of Quadratic Functions 1.19 - Solution

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Let's begin by finding the vertex of the parabola. Recall that the vertex is highest or lowest point of the curve and lies on the axis of symmetry.

The parabola opens downward and therefore the vertex is its maximum point. We see the vertex is the point Next, we will find the equation of the axis of symmetry. The axis of symmetry is the vertical line through the vertex, and divides the parabola into congruent halves.

The equation of the axis of symmetry is Finally, we will find the intercept knowing that the intercept, which is the point where the graph intercepts the axis.

As we can see, the intercept is located at