If I Only Had a Brain...scarecrow

...or maybe just a vertex...

"If I Only Had a Brain (The Wizard of Oz)" (1939)

This year's Java nerds are writing code to model 'Complex' numbers and 'Quadratic' functions. We'll post their work here eventually, but meanwhile...

"If I Only Had a Brain" was a song that was fun to parody, thinking of 'Quadratic Functions:'

'If I Only Had a Vertex'

y = f(x) = ax2 + bx + c

parabolas
a=-.4, a=.1

Don't think me a fanatic,
But functions when Quadratic
Don't give me a Complex...
I can hardly keep from laugh-n when parabolas I'm a-graphin'
But I sure need a vertex!

Whether 'down-y' or an 'up-y'
I can classify that puppy
I look at 'a' and check:
And I really start a-rolling cuz
I know 'a' is shape-control'n
But I sure need a vertex!

Chorus

Chorus:
The vertex has the y
where down-ies reach their high...
The vertex as you know,
is the place, where up-ies 'low.'

A parabola's spirit's lifted
When it's vertically-a-shifted
Due to the 'c's effects...
And my mind is accept'n
That the 'c's a y-intercept'n
But I sure need a vertex!

Chorus

The problems, I'd applaud 'em
If I knew their top from bottom
I would not feel so vexed
I could use h = -b/(2a)
Plug it in and get a k
I'd know that dumb vertex!

©1997 TTG


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