Sketch the graph of:
1.1 Graphs of Equations
y = x2 - 2x
Sep 5­8:45 AM
Identify x and y intercepts
y = x3 - 8
Sep 5­8:46 AM
Symmetry:
A graph is symmetric with respect to
the x-axis if, whenever (x, y) is on the
graph, (x, -y) is also on the graph.
x2 - 3 = y
Test: replace y with -y and see if
it yields an equivalent equations
Sep 5­8:48 AM
Symmetry:
A graph is symmetric with respect to
the y-axis if, whenever (x, y) is on the
graph, (-x, y) is also on the graph
Sep 5­8:49 AM
Symmetry:
A graph is symmetric with respect to the
origin if, whenever (x, y) is on the graph, (-x,
-y) is also on the graph.
x2 + y2 = 1
2
x-y =1
Test: replace x with -x and see if
it yields an equivalent equation
Sep 5­8:49 AM
Test: replace x with -x and y with -y
and see if it yields an equivalent
equation
Sep 5­8:49 AM
1
Use symmetry to sketch the
graph:
y = x2 - 2x
Sep 5­8:57 AM
Circles:
r2 = (x - h)2 + (y - k)2
Sep 5­8:59 AM
The point (3, 4) lies on a circle whose
center is at (-1, 2). Write the
standard form of the equation of
this circle.
Sep 5­9:01 AM
2