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

Step-by-step explanation:

This parabola is a horizontal one.

In the more familiar case, vertical parabolas, the applicable equation is:

y - k = a (x - h) ^2, where (h, k) is the vertex and 'a' has to do with vertical compression or stretching.

For the horizontal parabola, we adapt the above formula to:

x - h = b (y - k) ^2

substituting - 17 for x and 2 for k:

x + 17 = b (y - 2) ^2

Because the parabola opens to the left, b must be negative. One of many examples would be:

x + 17 = - 2 (y - 2) ^2, where the choice of 'b' is arbitrary.