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

Can't find the answer choices, but we can probably still solve this without them

notice the inside of the parentheses first: to go from x - 5 to x + 1, 6 units were added (-5 + 6 = 1)
is this a vertical or horizontal translation? and if so, to the left/right or up/down?

same logic with outside the parentheses: to go from +7 to -2 they subtracted 9 units (7 - 9 = -2). repeat the same process with this.