Name: ____________________________________
Date: __________________
Properties of the Graph of a Quadratic Function
Algebra 1 Homework
Skills
1. For each of the following, identify if the vertex is a maximum or minimum.
=
−
+
=
−
+
= −
+
−
2
2
2
(a)
y
2
x
3
x
1
(b)
y
3
x
2
x
7
(c)
y
x
5
x
9
2. Write the following quadratic functions in standard form.
=
− +
= −
−
+
=
+ −
2
2
2
(a)
y
2
x
1 3
x
(b)
y
2
x x
5
(c)
y
2
x
5 3
x
3. Which of the following equations does not represent a quadratic function?
=
−
=
+
2
2
(1)
y
3
x
7
(3)
y
2
x x
= +
= −
+
+
2
(2)
y
x
7
(4)
y
x
7
x
9
= −
+
2
4. Given the function
y
5 6
x x
(a) Write the function in standard form.
y
(b) Is the turning point a maximum or minimum?
(c) Graph the function by setting up a table on the calculator.
Show your table in the space below.
x
(d) Find all x-intercepts.
Algebra 1, Unit 5 – Quadratic Functions – L1
The Arlington Algebra Project, LaGrangeville, NY 12540