Question

The equation of the parabola whose axis is parallel to y – axis and passing through (4, 5), (–2, 11), (–4, 21) is

• A. $x^2-4x-2y+10=0$
• B. $x^2-2x-y+5=0$
• C. $x^2-4x-2y+10=0$
• D. $y^2-2x3y+4=0$

Answer 1

The correct option is A $x^2-4x-2y+10=0$

Since three points on the parabola are given, we will go for substitution.
The point (4, 5) lies only on $x^2-4x-2y+10=0$
Note that the axis of this parabola is parallel to y- axis, because its of the form $X^2=4AY$