Question

If the graph of the following parabola is shifted four units right and three units down, what is the resulting equation in vertex form? x=4y^2

Answer 1

ANSWER

The resulting parabola in vertex form is:

$(x - 4) = 4( {y + 3)}^{2}$

EXPLANATION

The original equation of the parabola is given as

$x = 4 {y}^{2}$

This parabola has its vertex at the origin.

If the graph of this parabola is shifted four units right and three units down, then the new equation is:

$(x - 4) = 4( {y + 3)}^{2}$

This the equation of the transformed parabola.

Its vertex is now at (4,-3).