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India
Class XI

Use vertex formula

Interactive practice questions

Consider the parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a\ne0$a0

Fill in the gap to make the statement true.

The $x$x-coordinate of the vertex of the parabola occurs at $x=\editable{}$x=. The $y$y-coordinate of the vertex is found by substituting this $x$x-value into the parabola's equation and evaluating the function at this value of $x$x.

Easy
1min

What is the line $x=\frac{-b}{2a}$x=b2a on the parabola defined by the equation $y=ax^2+bx+c$y=ax2+bx+c ($a\ne0$a0)?

Easy
< 1min

Consider the curve $y=x^2+6x+4$y=x2+6x+4.

Easy
3min

Consider the function $P\left(x\right)=x^2-4x+2$P(x)=x24x+2.

Easy
2min
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Outcomes

11.CG.CS.1

Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

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