Question

Which phrase best describes the translation from the graph y=(x-5)^2+7 to the graph of y=(x+1)^2-2

Answer 1

The original graph is shifted 6 units to the left and shifted down 9 units.

Answer 2

Shifted by 6 units left on the x-axis and 9 units down on y-axis.

Explanation:

Since the original graph is
`y=(x-5)^(2)+7`

It a parabola which is shifted 5 left on x axis from the origin and 7 units upwards on y - axis.

This graph is translated to y = (x + 1)²- 2

Which is 1 unit shifted on x-axis from the origin and 2 units down on y-axis.

Therefore the translated graph is shifted on x-axis by [-5 -1 ] = -6 units

Or 6 units to the left on x- axis.

and on the shifted on y axis by [-2, -7] = -9 units

Or 9 units down on y- axis.