In a parabola, the vertex is the highest or lowest point on a parabola. To calculate the vertex of a parabola, we can first calculate the x-value by dividing the opposite of the " b" value by 2 times the "a" value. The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward. The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry.
Sample Problems (8)
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Find the vertex of
Find the vertex of f(x) = x² + 3x + 4. Write the equation for the axis of symmetry.
A soccer ball's height in feet follows the path described by h(x) = 48x − 16x² where x is the time in seconds. After how long does the soccer ball reach its maximum height? What is that height?