Graph of a Quadratic Function

1. BASIC CONCEPTS
IN MATHEMATICS
GRAPH OF A
QUADRATIC FUNCTION
Prepared by:
MS. REYBETH D. RACELIS, LPT

2. AXIS OF SYMMETRY
The vertical line
through the vertex that
divides the parabola
into two equal parts.

3. DIRECTION OF OPENING OF A
PARABOLA
Can be determined from the
value of a in f(x) = ax² + bx + c.
If a > 0, the parabola opens
upward; if a < 0, the parabola
opens downward.

4. DOMAIN OF A QUADRATIC FUNCTION
The set of all possible values
of x. Thus the domain is the
set of all real numbers.

5. PARABOLA
The graph of a quadratic
function.

6. QUADRATIC FUNCTION
A second-degree function of
the form f(x) = ax² +bx + c where
a, b, and c are real numbers
and a ≠ 0. This is a function
which describes a polynomial of
degree 2.

7. RANGE OF A QUADRATIC FUNCTION
Consists of all y greater than or equal to
the y-coordinate of the vertex if the
parabola opens upward. Consists of all y
less than or equal to the y-coordinate of
the vertex if the parabola opens
downward.

8. VERTEX
The turning point of the parabola or the
lowest or highest point of the parabola.
If the quadratic function is expressed in
standard form y = a(x-h)² + k, the vertex
is the point (h, k)