Question

The line x = 2 is the axis of symmetry for a parabola. the focus of the parabola is located 3 units from the vertex. which could be the equation for the parabola? (x – 2)2 = 12(y – k) (x – h)2 = 12(y – 2) (x – 2)2 = 3(y – k) (x – h)2 = 3(y – 2)

Answer 1

The correct answer is (x - 2)² = 12(y - k) so option A is the correct answer.

What is a parabola?

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A point and a line are used in one definition of a parabola.

Given data is as follows:-

• The line x = 2 is the axis of symmetry for a parabola.
• vertex of parabola = (2,0)

The equation of the parabola will be given as:-

The focus of the parabola is located at 3 units from the vertex.

The equation of the parabola can be:-

y - k = 12 ( x - 2 )²

Therefore the correct answer is (x - 2)² = 12(y - k) so option A is the correct answer.

To know more about Parabola follow

brainly.com/question/1538225

#SPJ1