Question

Which phrase best describes the translation from the graph y=2(x-15)^2 +3 to the graph of y= 2(x-11)^2 +3

Answer 1

to eliminate the +2 in the first graph, it would need to move 2 units right.
to add the +3 to the first graph, it would need to move 3 units up.

2 units right and 3 units up.

Answer 2

The graph
`y=2(x-15)^2 +3` is shifted left by 4 units .

Explanation:

Function :
`y=2(x-15)^2 +3`

Rule : f(x)→f(x+b)

The graph f(x) shifts left by b units.

Now Shift the given graph left by 4 units

So,
`y=2(x-15)^2 +3` →
`y=2((x+4)-15)^2 +3`→tex]y=2((x-11)^2 +3[/tex]

Thus the shifted graph is
`y= 2(x-11)^2 +3`

Thus the graph
`y=2(x-15)^2 +3` is shifted left by 4 units .

Hence the phrase best describes the translation is the graph
`y=2(x-15)^2 +3` is shifted left by 4 units and the obtained graph is
`y= 2(x-11)^2 +3`