- Thread starter chunwai
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Now dot in some points which are the same distance from (0, 4) as they are from the x-axis (note that the distance between a point and a line is measured perpendicular to the line.

Call any one of these point (x, y).

Write an expression which represents the distance between (x, y) and (0, 4).

Write another expressions which represents the distance between (x, y) and the x-axis.

Equate these wo expressions and rearrange to get y = …..

Give it a go.

BTW the answer will be an equation involving x and y NOT the expression you have stated.

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Since the question asked about a "point" the

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I always thought the locus of a point was given as an equation.Since the question asked about a "point" theansweris \(\displaystyle (x, \frac{1}{8}x^2+ 2)\).

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But, yes, in my experience, the answer is