# 2014 SRJC Promo Q4

## Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.
##### 2014 SRJC Promo Q4

A curve undergoes, in succession, the following transformations:

A: A reflection in the $y$-axis
B: A translation of $3$ units in the negative $y$-direction
C: A translation of $4$ units in the positive $x$-direction
D: A scaling parallel to the $x$-axis by a factor of $2$

The equation of the resulting curve is $y=\sqrt{1-\frac{{{x}^{2}}}{4}}$.
Determine the equation of the original curve before the transformations were carried out.

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