VIEWS: 18 PAGES: 12

• pg 1
```									Quadratic Functions

Section 2.2
Objectives
• Rewrite a quadratic function in vertex
form using completing the square.
• Find the vertex of a quadratic function.
• Find x-intercepts and y-intercepts of a
• Write a quadratic function given two
points.
Objectives
• Solve a word problem involving a
• Determine how a function has been
transformed given an equation or a
graph.
• Given a description of a transformed
function, write the equation of the new
function.
Vocabulary

•   parabola
•   standard form of a quadratic equation
•   completing the square
Given the function below find
the vertex, x-intercepts, and
y-intercepts:
f (x )  3x  27 x  24
2
Find a function whose graph is
a parabola with vertex (-2, -9)
and that passes through the
point (-1, -6).
The profit function for a
computer company is given by
P (x )  x  38x  11
2

where x is the number of units
produced (in thousands) and
the profit is in thousand of
dollars.
Determine how many
(thousands of) units must be
produced to yield maximum
profit.
P (x )  x  38x  11
2
Determine the maximum
profit.
P (x )  x  38x  11
2
Determine how many units
should be produced for a
profit of at least 40 thousand
dollars.
P (x )  x  38x  11
2
The graph of the function
y  f (x )  89
can be obtained from the
graph of f(x) by what
transformation?
Given f (x )  x  2

after performing the following
transformations, write the
equation of the new
transformed function:
•reflect over the x-axis
•shift upward 48 units
•shift 85 units to the right

```
To top