Answer:
Shifted by 6 units left on the x-axis and 9 units down on y-axis.
Step-by-step explanation:
Since the original graph is [tex]y=(x-5)^{2}+7[/tex]
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.
