The curve is drawn on the Cartesian plane.

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

The curve

y = x^{2}

is drawn on the Cartesian plane. (i) Test each of the points

P(-2,4)

Q(-2,-4)

R(3,9)

and

S(0,1)

for membership on the curve, showing full substitution and simplification. (ii) List all ordered pairs of integers

(x, y)

satisfying

-3 \le x \le 3

that lie on the curve. (iii) Using the list obtained in part (ii), explain how the symmetry of the curve about the

y

–axis is reflected in the coordinates of the points.