Stupid question but anyway.. (1 Viewer)

[abdog]

Hi guys, is y=-2x^2 - 5x + 3 a parabola?

 

[Aysce]

Yup

 

[abdog]

Ok thanks

 

[cheepy5]

a sad one

 

[Focus is Key]

Any function with the leading coefficient having a power of two will be a parabola.

E.g. y=x^2 is a typical parabola.
y= -100000000x ^2 +x+ 2 will still be a parabola.

 

[Kingportable]

Yes, basically there is a term called the "degree" this is the term (letter) with the highest power. In this case the degree is 2. All functions that have a degree of 2 is a parabola. As an extension all functions with an even degree have a "U" shape and all functions with an odd degree has an inverted "S" shape of course excluding other functions like circle, semi-circle etc...

 

[Nws m8]

It's a quadratic and it's in the form ax^2 + bx + c (general quadratic form), whenever you graph a quadratic you get a parabola, if the there is a minus next the squared term, the parabola is sad face i.e. upside down, otherwise it's a happy face like this: lol


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