Quadratic FunctionsChapter 4 section 1

VocabularyA quadratic function is a function that can

be written in the form of y = ax2 + bx + c where a = 0, known as standard form.

The graph of a quadratic function is a parabola.

The parent function of all quadratic functions is

The lowest or highest point on a parabola is the vertex.

The axis of symmetry divides the parabola into mirror images and passes through the vertex.

Properties of the Graph of y = ax2 + bx + c

The graph opens up if and opens down if .The graph is narrower than the graph of if

and wider if .The axis of symmetry is and the vertex has x-

coordinate .The y-intercept is c. So, the point is on the

parabola.

Minimum and Maximum ValuesFor , the vertex’s y-coordinate is the minimum value

of the function if and the maximum value if .

Graph and label the vertex and axis of symmetry