Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 3
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30Unit 2 – Quadratics
Math 2200
3
Vertex Form of Quadratic Functions:
2
y
a
(
x
p
)
q
Section 3.1: Investigating Quadratic Functions in Vertex Form
For this investigation, please open the following website:
https://
and click
“Launch Calculator”. Under untitled select Parabola Vertex Form
Before beginning, change the slider variables to a = 1, h = 0 and k = 0 and “check” vertex and
axis of symmetry.
NOTE: This website and other textbooks use different variables for the vertex. The website is
using h and k, whereas, our textbook uses p and q for the parameters.
PART A: The Effect of Parameter “a” in
y
y
2
2
on the Graph of
ax
x
y
Using the “a” slider (keeping h = 0 and k = 0), determine the effect it has on the graph
2
ax
y
2
x
compared to the graph of
.
Questions:
y
y
2
2
ax
x
1. Describe the graph of
compared to
, as the value of a increases from 1 to 10.
As the a-value increases from 1 to 10, the graph is ___________________ compared to the
y
2
x
graph of
.
(narrower/wider)
y
y
2
2
ax
x
2. Describe the graph of
compared to
for values of a between 0 and 1.
y
2
x
For a-values between 0 and 1, the graph is ___________________ compared to
.
(narrower/wider)
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