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

Answer:

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

2nd option is correct.

Step-by-step explanation:

The parent function is $f(x)=x^2$

We can use below transformation rule:

• Whenever, we translate parent function f(x) by 'a' units left then we can add "a" the x value.Thus equation of f(x) becomes f(x+a)
• When we shift f(x) down by 'a' units then equation of f(x) becomes f(x)-a

Now, first of all this function is translated 7 units to the left.

Hence, the equation becomes $g(x)=(x+7)^2$

Finally, f(x) shifts down by 3 units then equation becomes

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

2nd option is correct.

Answer 2

I think its 
g(x) = (x + 7) 2 - 3
hope this helps,
QueenofLovers123