Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
No history yet!
Progress & Statistics equalizer Progress expand_more
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
No results
{{ searchError }}
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Interpreting Quadratic Functions in Vertex Form

Interpreting Quadratic Functions in Vertex Form 1.4 - Solution

arrow_back Return to Interpreting Quadratic Functions in Vertex Form

To match the function with its graph, we should first identify the vertex and then determine whether the parabola opens upward or downward. To do so, we will first express it in vertex form where and are either positive or negative numbers. Let's compare the general formula for the vertex form with our equation. We can see that and Since the vertex of a quadratic function written in vertex form is the point the vertex of our function is Let's now determine the direction of the parabola. Recall that if the parabola opens upwards. Conversely, if the parabola opens downwards.

In the given function, we have which is less than Therefore, the parabola opens downward. As a result, the graph of the function is the graph given in choice D.