Binomial Theorem

Question
CBSEENMA11015122

Find the equation of the parabola whose vertex is at (0, 0) and the focus is at point (-3, 0).

Solution

The vertex is at (0, 0) and the focus is at (-3, 0). For both the points y = 0
∴  Axis of the parabola is y = 0 or the x-axis.
rightwards double arrow   Equation of the parabola in the standard form is straight y squared equals 4 ax
Also,      focus straight S space left parenthesis straight a comma space 0 right parenthesis space left right arrow space straight S space left parenthesis negative 3 comma space 0 right parenthesis space rightwards double arrow space straight a space equals space minus 3
Hence, the equation of the parabola is straight y squared equals 4 left parenthesis negative 3 right parenthesis straight x space or space straight y squared equals negative 12 straight x

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