Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?
2 answers:
Answer:
Option B is correct
Left 1 unit.
Explanation:
According to the graph theory of transformation:
y = f(x+k)=
Given the parent function:
and the function
we can write it as:
g(x)=
[ ∴
]
Therefore, vertex of the graph of the function
is 1 units to the left of the vertex of the graph of the function
.
Answer:
Shift 1 unit left
B is correct
Step-by-step explanation:
Given: The vertex of f(x) shift to g(x)

Vertex of f(x): (0,0)

Vertex form: 

Vertex of g(x): (-1,0)

Only x-coordinate change and y-coordinate remain same.

Hence, The vertex of f(x) shift 1 unit left to get vertex of g(x)
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