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...
![Page 1: Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.](https://reader036.fdocuments.us/reader036/viewer/2022082319/5697bfc51a28abf838ca69f0/html5/thumbnails/1.jpg)
Graphing quadratic functions (Section 5.1
![Page 2: Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.](https://reader036.fdocuments.us/reader036/viewer/2022082319/5697bfc51a28abf838ca69f0/html5/thumbnails/2.jpg)
Forms of the quadratic function Standard form
Vertex form
Intercept form
qxpxay
khxay
cbxaxy
2
2
![Page 3: Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.](https://reader036.fdocuments.us/reader036/viewer/2022082319/5697bfc51a28abf838ca69f0/html5/thumbnails/3.jpg)
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.
![Page 4: Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.](https://reader036.fdocuments.us/reader036/viewer/2022082319/5697bfc51a28abf838ca69f0/html5/thumbnails/4.jpg)
Graphs of some quadratic functions
![Page 5: Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.](https://reader036.fdocuments.us/reader036/viewer/2022082319/5697bfc51a28abf838ca69f0/html5/thumbnails/5.jpg)
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
![Page 6: Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.](https://reader036.fdocuments.us/reader036/viewer/2022082319/5697bfc51a28abf838ca69f0/html5/thumbnails/6.jpg)
1
122
722
x
x
xxy
Using standard form of a quadratic function(continued)
![Page 7: Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.](https://reader036.fdocuments.us/reader036/viewer/2022082319/5697bfc51a28abf838ca69f0/html5/thumbnails/7.jpg)
Using standard form of a quadratic function (continued)
int7,0
8,1
8
7121 2
y
vertex
y
y
![Page 8: Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.](https://reader036.fdocuments.us/reader036/viewer/2022082319/5697bfc51a28abf838ca69f0/html5/thumbnails/8.jpg)
Using vertex form of a quadratic function
narrowerup
vertex
xy
,
6,4
642 2
![Page 9: Graphing quadratic functions (Section 5.1. Forms of the quadratic function Standard form Vertex form Intercept form.](https://reader036.fdocuments.us/reader036/viewer/2022082319/5697bfc51a28abf838ca69f0/html5/thumbnails/9.jpg)
Using intercept form of a quadratic function
widerdown
x
xxy
,
int0,5,0,3
5321