Pre-Calculus 12
Review: Lesson 1 – Quadratic Functions
A quadratic function is a function of degree 2. (Degree = highest exponent value).
1) Standard Form:
2) Vertex Form:
3) Factored Form:
Ex. 1: Graph the basic parabola, y  x 2 , using a table of values.
What is the domain of
this graph?

What is the range of this
graph?
* Always graph at least 5 points clearly when graphing a parabola *
Pre-Calculus 12
To graph any quadratic function in vertex form:
1) Plot the vertex (p, q)
2) Plot secondary points using a 
y  x2
(Basic Parabola)

x
y
y  ax 2

x
0
0
1
1
2
2
3
3
y
Ex. 1: Graph y  2(x 1)2 3
(a) Vertex:

(b) Equation of the axis of symmetry:
(c) Domain:
(d) Range:
Ex. 2: Graph y  ( x  2)2  4
(a) Vertex:
(b) Equation of the axis of symmetry:
(c) Domain:
(d) Range:
Pre-Calculus 12
Ex. 3: Determine the quadratic function written in vertex form y  a( x  p) 2  q with the given
information:
a) vertex ( 3, – 5 ) , and a = 2
b) congruent to y  0.4x 2 , opens down, and vertex (– 3, – 3 )
c) vertex (0, 3), passing through (3, 4)
Pre-Calculus 12
d) vertex (4, –1), and y – intercept 3
Ex. 5: Determine the quadratic equation of a parabola with zeros at 4 & -5 passing through the point
(1, 36).