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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

Respuesta :

Answer:

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

Step-by-step explanation:

Recall:

Vertex Form -> [tex]f(x)=a(x-h)^2+k[/tex]

Horizontal Shift -> [tex]h[/tex]

Vertical Shift -> [tex]k[/tex]

Therefore, if [tex]h=2[/tex] and [tex]k=3[/tex], then the graph shifts right by 2 units and shifts up by 3 units.

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