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Mkey [24]
3 years ago
7

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?

Mathematics
2 answers:
jarptica [38.1K]3 years ago
6 0

Answer:

Option B is correct

Left 1 unit.

Explanation:

According to the graph theory of transformation:

y = f(x+k)=\left \{ {{k>0 shift graph of y= f(x) left k unit} \atop {k

Given the parent function: f(x)=x^2

and the function g(x)=x^2+2x+1

we can write it as:

g(x)= (x+1)^2   [ ∴(a+b)^2 = a^2+2ab+b^2 ]

Therefore, vertex of the graph of the function g(x)=(x+1)^2 is 1 units to the left of the vertex of the graph of the function f(x)=x^2 .




Bogdan [553]3 years ago
4 0

Answer:

Shift 1 unit left

B is correct

Step-by-step explanation:

Given: The vertex of f(x) shift to g(x)

f(x)=x^2

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

g(x)=x^2+2x+1

Vertex form: y=a(x-h)^2+k

g(x)=(x+1)^2

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

(0,0)\rightarrow (-1,0)

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

0\rightarrow -1

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

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