Question

If we transform the parabola y = (x + 1)2 + 2 by shifting 7 units to the right and 5 units down, what is the vertex of the resulting parabola?

Answer 1

The answer would be (6,-3)

Answer 2

The vertex of transformed parabola is:

(6,-3)

Explanation:

We are given a equation of parabola as:

`y=(x+1)^2+2`

Now we have to transform the parabola

`y=(x+1)^2+2`

by shifting 7 units to the right and 5 units down.

We know that if a parabola is shifted 7 units to the right and 5 units to the down then the equation of the transformed parabola is given as:
`y=(x+1-7)^2+2-5\\\\y=(x-6)^2-3`

We know that for any equation of parabola of the type:

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

The vertex of parabola is:

(h,k)

Now,the vertex of the transformed parabola is:

(6,-3)