Question

A parabola opens to the left. Which could be the equation of the parabola? (x – 4)2 = 4(y 3) (x – 4)2 = –4(y 3) (y – 4)2 = 4(x 3) (y – 4)2 = –4(x 3).

Answer 1

The equation of a leftward parabola is $\rm (y - 4)^2 = -4(x+ 3)$. Then the correct option is D.

What is the parabola?

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called the focus, and the non-movable line is called the directrix.

The parabola is open to the left.

We know that the equation of the parabola will be in square form.

a.  $\rm (x - 4)^2 = 4(y +3)$

This is an equation of an upward parabola.

b.  $\rm (x - 4)^2 = -4(y+ 3)$

This is an equation of a downward parabola.

c.  $\rm (y - 4)^2 = 4(x+ 3)$

This is an equation of a rightward parabola.

d.  $\rm (y - 4)^2 = -4(x+ 3)$

This is an equation of a leftward parabola.

Thus, the correct option is D.

More about the parabola link is given below.

https://brainly.com/question/8495268