To shift the linear parent function $ f(x) = x $ to the left by 5 units, you need to adjust the input $ x $ by adding 5 to it. This is because shifting to the left involves increasing the value of $ x $ by the shift amount.

Here are the steps:

1. Start with the original function: $ f(x) = x $.
2. To shift the function to the left by 5 units, replace $ x $ with $ x + 5 $.

So, the new function $ g(x) $ will be:

$$ g(x) = f(x + 5) $$

Since $ f(x) = x $, we substitute $ x + 5 $ into the function:

$$ g(x) = x + 5 $$

Therefore, the equation of the new function is:

$$ \boxed{g(x) = x + 5} $$

Question

To shift the linear parent function $ f(x) = x $ to the left by 5 units, you need to adjust the input $ x $ by adding 5 to it. This is because shifting to the left involves increasing the value of $ x $ by the shift amount.

Here are the steps:

1. Start with the original function: $ f(x) = x $.
2. To shift the function to the left by 5 units, replace $ x $ with $ x + 5 $.

So, the new function $ g(x) $ will be:

$$ g(x) = f(x + 5) $$

Since $ f(x) = x $, we substitute $ x + 5 $ into the function:

$$ g(x) = x + 5 $$

Therefore, the equation of the new function is:

$$ \boxed{g(x) = x + 5} $$

Knowee AI · Accepted Answer

To shift the linear parent function $ f(x) = x $ to the left by 5 units, you need to adjust the input $ x $ by adding 5 to it. This is because shifting to the left involves increasing the value of $ x $ by the shift amount.

Here are the steps:

1. Start with the original function: $ f(x) = x $.
2. To shift the function to the left by 5 units, replace $ x $ with $ x + 5 $.

So, the new function $ g(x) $ will be:

$$ g(x) = f(x + 5) $$

Since $ f(x) = x $, we substitute $ x + 5 $ into the function:

$$ g(x) = x + 5 $$

Therefore, the equation of the new function is:

$$ \boxed{g(x) = x + 5} $$

If you shift the linear parent function, f(x) = x, to the left 5 units, what is the equation of the new function?A.g(x) = 5B.g(x) = 5xC.g(x) = xD.g(x) = x + 5

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