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?
What you're showing is a quadratic function. A quadratic equation in standard form looks like this: ax^{2} + bx + c = 0 ax^{2} + bx = 0 is still a quadratic equation. The only restriction is that a [itex]\neq[/itex] 0.