Question

hey can you please help me posted picture of question

Answer 1

Since the vertex of the parabola is at (-4, -1) and the parabola opens right the general equation of the parabola can be written as:

$x=a(y+1)^{2}-4$

For y = 0,x = 2. Using these values in the above equation we get:

$2=a(0+1)^{2}-4 \\ \\ 6=a$

So, the equation of the parabola will be:

$x=6(y+1)^{2}-4$

Thus, the coefficient of squared term is 6.

So correct answer is option D