the parabola y x 2 4 opens The parabola opens upward Given the equation of the parabola is y x 2 4 y x 2 4 y x 2 4 This can be rewritten as y 1 x 0 2 4 y 1 x 0 2 4
Free Parabola calculator Calculate parabola foci vertices axis and directrix step by step You can use quadratic functions to explore how the equation affects the shape of a parabola Here s how to make a parabola wider or narrower or how to rotate it onto its side Use the quadratic function to learn
the parabola y x 2 4 opens
the parabola y x 2 4 opens
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Parabola Formulas
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14 4 2 The Parabola Engineering LibreTexts
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Precalculus Graph x 2y 2 4 x 2y2 4 x 2 y 2 4 Find the properties of the given parabola Tap for more steps Direction Opens Right Vertex 4 0 4 0 Focus 31 8 0 31 8 0 Answer Up Step by step explanation Here the easy rules to remember the orientation of the parabolas are a If x is squared it opens up or down And its coefficient of
The vertex form is y a x 2 5 where a is the same non zero parameter as in the standard form For each value of a you get a different parabola so you need to specify a Explanation y x2 4 Since y has no term in x we know that the axis of symmetry of it s parabolic graph is the line x 0 y 0 4 yvertex 0 4 We also know that
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Question 9 Find Area Of Parabola Y 2 4ax Bounded By Latus Rectum
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The Parabola Calculator computes various properties of a parabola focus vertex etc and plots it given an equation of a parabola as input A parabola is visually a U shaped mirror symmetrical open plane curve The calculator Explanation The standard form for a parabola that opens left or right is x ay2 by c This matches the given equation x y2 4 where a 1 b 0 and c 4 To find the
Explanation y x2 4x 4 or y x 2 2 0 This is vertex form of equation y a x h 2 k h k being vertex here h 2 k 0 a 1 Since a is positive parabola opens Parabola Symmetric About Y Axis and Opens Down x 2 4ay is the standard equation of the parabola which is symmetric about y axis and open downward
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the parabola y x 2 4 opens - Like the ellipse and hyperbola the parabola can also be defined by a set of points in the coordinate plane A parabola is the set of all points latex left x y right latex in a plane that