Answer:
Option 3 -
Step-by-step explanation:
Given : The parent function has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units.
To find : Which function is representative of this transformation.
Solution : The parent function
- Transformed by reflecting it over the x-axis.
Transformation over x-axis is f(x,y)→f(x,-y)
- Stretching it vertically by a factor of two
Stretching it vertically means multiply the factor by output constant given.
Multiply the parent function by 2.
- Shifting it down three units.
Shifting downwards means f(x)→f(x)-b , function shift downward by b unit.
Therefore, The new function formed is
So, Option 3 is correct.