Question

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

Answer 1

`g(x)=(x+3)^2` best describes g(x)

Explanation:

We are given an equation of graph
`f(x)=x^2`

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
`f(x) = x^2` is shifted 3 units to the left to obtain the graph of g(x).

So, By using rule :

`f(x+3)=(x+3)^2`

So,
`g(x)=(x+3)^2`

So, Option A is true

Hence
`g(x)=(x+3)^2` best describes g(x)