![]() In the figure above, click on 'show roots'.Īs you play with the quadratic, note that the roots are where the curve intersects the x axis, where Changing a alters the curvature of the parabolic element.Note how it combines the effects of the three terms. This is the graph of the equation y = 2x 2+3x+4. Note also the roots of the equation (where y is zero) are at the origin and so are both zero. When a is negative it slopes downwards each side of the origin. This is the graph of the equation y = 3x 2+0x+0.Įquations of this form and are in the shape of a parabola, and sinceĪ is positive, it goes upwards on each side of the origin.Īs a gets larger the parabola gets steeper and 'narrower'. Move the left slider to get different values of a.To get a feel for the effects of their values on the graph. This is the equation of y = bx+c and combines the effects of the ![]()
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