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LearninDaMath Feb19-12 07:24 PM

quadratic equations
 
A quadratic equation has the form y = ax^2 + bx + c. However, if c = 0, then y = ax^2 + bx. Is it still called a quadratic equation? And if b = 0 so that y = ax^2, is it still given the title of quadratic equation?

I would guess yes since it still has a power of 2 and is a parabola. Is this correct?

Mark44 Feb19-12 07:31 PM

Re: quadratic equations
 
Quote:

Quote by LearninDaMath (Post 3773179)
A quadratic equation has the form y = ax^2 + bx + c.

What you're showing is a quadratic function. A quadratic equation in standard form looks like this:
ax2 + bx + c = 0
Quote:

Quote by LearninDaMath (Post 3773179)
However, if c = 0, then y = ax^2 + bx. Is it still called a quadratic equation?

ax2 + bx = 0 is still a quadratic equation. The only restriction is that a [itex]\neq[/itex] 0.
Quote:

Quote by LearninDaMath (Post 3773179)
And if b = 0 so that y = ax^2, is it still given the title of quadratic equation?

I would guess yes since it still has a power of 2 and is a parabola. Is this correct?



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