Vertex form is an algebraic format used to express quadratic function rules.
In this form, a gives the direction of the parabola. When a>0, the parabola faces upward and when a<0, it faces downward. The vertex of the parabola lies at (h,k), and the axis of symmetry is x=h. Consider the graph of
When a quadratic function is written in vertex form, some characteristics of its graph can be identified.
|Direction||Vertex||Axis of Symmetry|
There are two candidates remaining for each function. The rules with a=-1 correspond to a downward parabola, whereas the rules with a=1 correspond to an upward parabola. To determine if any option is completely correct, we'd need more information about the parabola, specifically its direction or if its vertex is a minimum or a maximum.
Write the rule for the quadratic function that has the vertex (5,-1) and passes through the point (10,-11).
Since the parabola passes through the given points, the created rule is correct.