Graphing Quadratic Functions

October 30th, 2010

Download: mp3 and materials on Discovery Streaming

View: U Lyric Explanation

1st verse:
ax^2 + bx + c = y
Set y to zero so we we we we we we can find
The x intercepts (x,0) and (x,0)
Because this U-shaped curve
Can cross the x line, two times

Chorus:
Negative b plus or minus the square root of
b squared minus 4ac
All over 2a
Give up the two x…
The two x intercepts
Where that quadratic curve
Crosses the x axis
Take the equation y = x^2 + 5x - 39
a is 1, b is positive 5
c is - 39, keep the sign

2nd verse:
x^2 - 5x + 4 = 0
a is 1, b -5, c is 4
It’s a free throw
To use the formula to get two x intercepts
A U-shaped curve hits the 1 and the 4
Along the x

Bridge:
If y = -x^2
It means the U is inverted
With a pretty wide world
If y = 10x^2
That means the U is quite normal
With a narrow curve

3rd verse:
-x^2 -5x -4 = 0
a -1, b -5, c -4
It’s for real
We use the formula to get the two x intercepts
Inverted U at -1 and -4
Along the x


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