x^(2) = -yFind the equation of the parabola which is symmetric about the y-axis and passes through the point (2, -4).
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A parabola is the set of all points in the plane that are equidistant from a given line and a given point not on the line. A parabola is symmetric about the line that passes through the focus at right angles to the directrix. This line, called the axis of the parabola, meets the par...
Give, a parabola whose equation is y=3−x2 This is a downward parabola and is symmetric about y axis. Consider any point...Become a member and unlock all Study Answers Start today. Try it now...
To graph a parabola we have to know its characteristic points and some additional information about its axis of symmetry and its direction. The main characteristic points of a parabola are the vertex, the intercepts with the x-axis and the intecept with the ...
The parabola is symmetric with respect to its axis. This means that the axis of symmetry of a parabola is along the x-axis if the equation has the term with y2.On the other hand an equation of a parabola has the axis of symmetry along the y-axis if the equation has the term with...
A parabola is symmetric about the line that passes through the focus at right angles to the directrix. This line, called the axis of the parabola, meets the parabola at a point called the vertex. • The given line is called the directrix of the parabola, and the given point the ...
Statement -1 The quadratic polynomial y=ax2+bx+c(a≠0 and a,b,εR) is symmetric about the line 2ax+b=0 Statemtn 2 Parabola is symmetric about its axis of symmetry. AStatement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement-1 BStatement -...
It is given that the parabola is symmetric about the x-axis ∴ The required equation is of the form y 2 = 4 a x or y 2 = - 4 a x . Now, the sign depends on whether the parabola opens rightwards of leftwards. The parabola passes through ( - 2 . - 3 ) which lies in...
wherepis the length of the segmentFNand is called the parameter of the parabola. The parabola is a quadratic curve; it is the graph of the quadratic trinomialy = ax2+ bx + c. It extends to infinity and is symmetric with respect to its axis. ...