Which of the following could be the equation for a parabola that opens to the left with vertex (-17,2)?

Answer:
C
Step-by-step explanation:
Just plugging in the given x or y values, you can rule out both A and B, only C and D work out logically.
-17=-3(2-2)²-17
-17=0-17
-17=-17✓
2=3(x+17)1+2
2=0+2
2=2✓
With parabolas, if you're talking in terms of y=x², it will be vertical. If talking in terms of x=y², it will be horizontal. As we're looking for something horizontal (open to the left), we need a x=y² formula. Of C and D, only C is an x=y² formula, and thus the answer.