Question

The graph of y = srtqx is translated. The translation is defined by (x + 1, y – 2). Which is the graph of the translated image?

Answer 1

Answer with explanation:

The graph of Original function is:

      $y=\sqrt{x}$

The function is translated by the rule (x+1, y-2).

After translation Point (a,b) is obtained.

a=x+1

,→x=a-1

b=y-2

→y=b+2

Substituting the value of x and y in the above function and obtaining the graph of the translated image

$\rightarrow b+2=\sqrt{a-1}\\\\\text{Replacing a and b by x and y}\\\\\rightarrow y+2=\sqrt{x-1}$

Answer 2

Look at the original graph, shift it 1 unit to the left, 2 units down, you'll have the new graph.