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

the answer may be y=2 (x-11)2+3

Answer 2

Answer:

Shifting the graph of equation 1 by 4 units left gives us the graph of equation 2

Step-by-step explanation:

Given that

y = 2(x - 15)² + 3 ....(1

Our desired equation is

y = 2(x - 11)² + 3 .....(2

If we translate the graph of equation 1 by four units left we will have to replace x by x + 4. So, our equation would change the form to the following equation

y= 2(x + 4 - 15)² + 3

y = 2(x -11)² + 3

This is our desired graph which has been obtained by shifting y = 2(x - 15)² + 3 four units left in the coordinate plane.

So, our desired phrase is:

Shifting the graph of equation 1 by 4 units left gives us the graph of equation 2