1. Standard
MM2A3. Students will analyze quadratic functions in the forms f(x) = ax2 + bx + c
and f(x) = a(x – h)2 + k.
c. Investigate and explain characteristics of quadratic functions, including domain, range, intervals of increase and decrease,

2. The graph of a quadratic equation is a PARABOLA.
MM2A3c c. Investigate and explain characteristics of quadratic functions
A quadratic function is a function that can be written in standard form:
y = ax2 + bx + c
where a is not equal to 0.
The graph of a quadratic equation is a PARABOLA.

3. MM2A3c c. Investigate and explain characteristics of quadratic functionsy x
Parent Quadratic Function:
f(x) = x2
Let’s graph it with a table of values!!
x f(x)
Now let’s describe it!!

4. The lowest or highest point on a parabola
MM2A3c c. Investigate and explain characteristics of quadratic functions
Let’s define!!
Vertex:
The lowest or highest point on a parabola
In our parent function example:
Vertex: (0,0)

5. The set of all input (x) values of a relation
MM2A3c c. Investigate and explain characteristics of quadratic functions
Domain:
The set of all input (x) values of a relation
In our parent function example:
Domain = all real numbers or

6. The set of all output (y) values of a relation
MM2A3c c. Investigate and explain characteristics of quadratic functions
Range:
The set of all output (y) values of a relation
In our parent function example:
Range = or

7. Interval(s) of Increase: From left to right on a graph,
MM2A3c c. Investigate and explain characteristics of quadratic functions
Interval(s) of Increase:
From left to right on a graph,
where as x increases, f(x) increases
In our parent function example:
Int. of Increase =
x > 0 Or

8. Interval(s) of Decrease: From left to right on a graph,
MM2A3c c. Investigate and explain characteristics of quadratic functions
Interval(s) of Decrease:
From left to right on a graph,
where as x increases, f(x) decreases
In our parent function example:
Int. of Increase =
x < 0 Or

9. Let’s practice 1 more MM2A3c c
Let’s practice 1 more MM2A3c c. Investigate and explain characteristics of quadratic functions

10. Domain: The set of all input (x) values of a relation

12. Interval(s) of Increase: From left to right on a graph, where as x increases, f(x) increases

13. Interval(s) of Decrease: From left to right on a graph, where as x increases, f(x) decreases