Question

Given that f(x) is a function, and h(x) is the transformed graph of f(x).

Describe the transformations that occur in the function h(x)=f(x-2)+3.
A
Shift to the left by 2 units and a shift up by 3 units
В.
Shift left by 2 units and a shift down by 3 units
Shift right by 2 units and a shift down by 3 units
D. O Shift right by 2 units and a shift up by 3 units

Answer 1

D) Shift right by 2 units and a shift up by 3 units

Explanation:

Recall:

Vertex Form ->
`f(x)=a(x-h)^2+k`

Horizontal Shift ->
`h`

Vertical Shift ->
`k`

Therefore, if
`h=2` and
`k=3`, then the graph shifts right by 2 units and shifts up by 3 units.