3.1: Quadratic Functions WORKSHEET

Pre-Calculus 11
Name: _________________________
3.1: Quadratic Functions WORKSHEET
1. Graph each of the following functions by comparing to y  x 2 with a new (p,q) value and state
the required information. Check with a graphing calculator or table of values if needed.
y  ( x  3)2
y  x2  2
Vertex
Vertex
Axis of
symmetry
Domain
Axis of
symmetry
Domain
Range
Range
Y-intercept
Y-intercept
X-intercept(s)
X-intercept(s)
y  ( x  4)2  3
y  ( x  1)2  2
Vertex
Vertex
Axis of
symmetry
Domain
Axis of
symmetry
Domain
Range
Range
Y-intercept
Y-intercept
X-intercept(s)
X-intercept(s)
2. Given the following graphs, find the required information. Write a function for the graph in the
form y  ( x  p)2  q .
Vertex
Vertex
Axis of
symmetry
Domain
Axis of
symmetry
Domain
Range
Range
Y-intercept
Y-intercept
X-intercept(s)
X-intercept(s)
Equation: __________________
Equation: __________________
3. Draw a sketch of a quadratic function with the given information.
a) vertex at (3,-2), y-intercept at 7
b) x-intercepts at -3 and 1, y-intercept at 1
4. Search “Quadratic Function Applications” on GOOGLE and list at least two real-life examples
of quadratic functions. You do not need to write any details about the application, just the topic
itself.