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For a quadratic graph, the axis of symmetry and Y-axis coincide (or overlap) then,

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Important Questions on Theory of Equations

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For the quadratic equation 3x2+12x+10=0, what is the vertex of the graph?
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For the quadratic equation x2+12x+20=0, how far is the vertex from the X-axis?
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For the quadratic equation x2-11x+24=0, what will be the position of the vertex of the quadratic graph with reference to the X-axis?
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For the quadratic equation x2+9x+18=0, what will be the position of the vertex of the quadratic graph with reference to the origin (or intersection of both the axes) ?
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Find the value of y where the graph of 3x2+19x-18=0 intersects the Y-axis.
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Which of the following is false?

(i) If only the positive values of x are taken, the quadratic graph does not intersect the Y-axis.

(ii) If only negative values are taken, the quadratic graph does not intersect the Y-axis.

(iii) The interception of Y-axis can be known when we substitute x=0, in the quadratic function.

(iv) There can be minimum zero and maximum two x-intercepts.

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If D be the discriminant of the quadratic equation ax2+bx+c=0, what will be the coordinates of its vertex?
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If one root of a quadratic equation is zero, which one of the following is correct?