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Quadratic Functions
Agenda:
Hand out "Writing Project"Due Mon. 12/8 (in 2 weeks)
Wrap up 8.4Functions, Domain, Range
Start 8.5 Quadratic Functions
8.5 HW #18 all,. 947 (e.o.o.), 49, 53
y is a function of x if for each independent variable
there exists a
unique dependent variable .
y is a function of x if for each x there exists only one y.
Domain?
Range?
Vertical Line Test : If a vertical line
intersects the graph of the
relation in more than one point then the relation is not a function.
The graph below shows the (hypothetical) relationship
between fuel
economy and speed.
Deepening Understanding:
1. What is the relationship between the x intercepts and the solutions to the quadratic equation
2. What would you conjecture about the number and type of
xintercepts
for a perfect square trinomial ?
A quadratic function has a vertex at (2, 1) and passes
through the
point (2,7).
What other (easytofind) point is on the graph of the
quadratic
function?
What is the vertex form of this quadratic function?
The quadratic formula was used to find that, for a certain
quadratic
function:
1. What is the axis of symmetry for this quadratic function ?
2. What are the xintercepts?
3. What is the equation of the quadratic function?
Find the equation of the parabola
plotted here .
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