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Question 3(Multiple Choice Worth 1 points)

(08.05 MC)

The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)?

g(x) = (x + 3)2
g(x) = x2 − 3
g(x) = x2 + 3
g(x) = (x − 3)2

Respuesta :

Answer:

[tex]g(x)=(x+3)^2[/tex] best describes g(x)

Step-by-step explanation:

We are given an equation of graph[tex]f(x)=x^2[/tex]

Rule : When the graph f(x) shifts left by c units . So, resultant graph is f(x+c)

Now we are given that The graph of [tex]f(x) = x^2[/tex] is shifted 3 units to the left to obtain the graph of g(x).

So, By using rule :

[tex]f(x+3)=(x+3)^2[/tex]

So, [tex]g(x)=(x+3)^2[/tex]

So, Option A is true

Hence [tex]g(x)=(x+3)^2[/tex] best describes g(x)

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