Question

14. Compare the graph below to the function

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = $\sqrt{x}$

When translated by 3 units left,

f(x + 3) = $\sqrt{(x+3)}$

g(x) = $\sqrt{(x+3)}$

If the translated function is stretched vertically by a scale factor = k

New function will be,

g'(x) = $k\sqrt{(x+3)}$

Since a point (1, 4) passes lies on the transformed function.

g'(1) = $k\sqrt{(1+3)}$

4 = 2k

k = 2

Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.

Option (2) will be the answer.