This document defines key algebra II vocabulary terms: - The range is the set of all possible y-values from a function. The domain is the set of all possible x-values. - For a quadratic function y=ax^2+bx+c, the maximum is the vertex y-value if a<0 and the minimum is the vertex y-value if a>0. - An interval is increasing if the graph rises left to right and decreasing if it declines left to right. Intercepts are where the graph crosses the x and y-axes.

1. ALGEBRA II
VOCABULARY REVIEW
9

2. RECALL…
•Range
•Domain
•Maximum / Minimum
•Increasing / Decreasing Intervals
•Intercepts

3. RANGE
Definition:
The range is the set of all possible output values (y-values)
which result from using a particular function.

5. DOMAIN
Definition:
The domain is the set of all possible input values (x-values).
(All the values that go into a function)

7. MAXIMUM
Definition:
The maximum value of a quadratic function, 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐,
where a < 0, is the y- coordinate of the vertex.

8. MINIMUM
Definition:
The maximum value of a quadratic function, 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐,
where a > 0, is the y- coordinate of the vertex.

9. INCREASING INTERVALS
Definition:
The function is increasing on the interval of the input
values (x-values) when the graph rises from left to right
over the interval. Both the x and y values are increasing.
Increasing Interval: [3, ∞)

10. DECREASING INTERVALS
Definition:
The function is decreasing on the interval of the input
values (x-values) when the graph declines from left to
right over the interval. The y-values decrease as the x-
values increase.
Decreasing Interval: (−∞, 0]

11. INTERCEPTS
The intercepts are where a graph crosses the x and y axes.
X-Intercept: An x-intercept is a point on the graph at which y = 0.
(Crosses the x-axis)
Y-Intercept: A y-intercept is a point on the graph at which x = 0.
(Crosses the y-axis)

12. “
”
NOW LET’S CONSIDER
QUADRATIC TRANSFORMATIONS
ON THE PARENT FUNCTION 𝑦 = 𝑥2
http://seeingmath.concord.org/dev_applets/publish/resource_files/QuadraticGeneral.html