Question

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

Answer 1

Answer:

"6 units left and 9 units down"

Step-by-step explanation:

Suppose a function is given in this form:

$y=(x-a)^2+b$

This is the parent function y = x^2

• translated a units right (left if there was a + before a)
• translated b units up (down if there was a - before b)

Now, to go from  $y=(x-5)^2+7$  to  $y= (x+1)^2-2$ , we can see that:

• first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
• first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down

Thus, "6 units left and 9 units down" is the transformation(translation).