Answer the following for each of the two parabolas given below

MATHEMATICS · Multi-part · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Answer the following for each of the two parabolas given below. Show all working. (i) State the direction in which the parabola opens and name the axis along which it is symmetric. (ii) Find the coordinates of the vertex and focus, and write the equation of the directrix. (iii) Determine the length of the latus-rectum. (iv) Indicate the quadrant or axis in which the focus is located. (v) Draw a neat, labelled sketch of each parabola on the same set of coordinate axes.

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