Question

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

Answer 1

The equation that represents the function g(x) is g(x)  = (x + 7)^2 - 3

The equation of the function is given as:

$f(x) = x^2$

When the function is translated 7 units to the left, we have:

$f(x + 7) = (x + 7)^2$

When the function is translated 3 unit down, we have:

$f(x + 7) - 3 = (x + 7)^2 - 3$

The equation represents the function g(x).

So, we have:

$g(x) = (x + 7)^2 - 3$

Hence, the equation that represents the function g(x) is g(x)  = (x + 7)^2 - 3

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