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 LearninDaMath Feb19-12 07:24 PM

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

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 $\neq$ 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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