Question

-(1/x+3) +4

Horizontal Shift direction:
Horizontal shift number:
Vertical Shift direction:
Vertical Shift number:
Shape:

Answer 1

9514 1404 393

Answer:

• left 3 units
• up 4 units
• shape: lower left image

Explanation:

For a parent function f(x), the transformations ...

g(x) = a×f(x -h) +k

cause ...

• vertical expansion by 'a', reflection over x-axis if negative
• right shift by 'h'
• up shift by 'k'

Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...

horizontal shift left 3 units

vertical shift up 4 units

reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done before the translation.)