Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex...
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Transcript of Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex...
Graphing quadratic functions (Section 5.1
Forms of the quadratic function Standard form
Vertex form
Intercept form
qxpxay
khxay
cbxaxy
2
2
The graph of a quadratic function is a parabola The parabola opens up if a>0 and opens
down if a<0. The parabola is wider than the shape of
the parent function if the absolute value of a is less than one, and is narrower than the graph of the parent function if the absolute value of a is greater than one.
Graphs of some quadratic functions
Using standard form of a quadratic function The x-coordinate of
the vertex is
The axis of symmetry is the vertical line
a
b
2
a
bx
2
1
122
722
x
x
xxy
Using standard form of a quadratic function(continued)
Using standard form of a quadratic function (continued)
int7,0
8,1
8
7121 2
y
vertex
y
y
Using vertex form of a quadratic function
narrowerup
vertex
xy
,
6,4
642 2
Using intercept form of a quadratic function
widerdown
x
xxy
,
int0,5,0,3
5321