110k views
1 vote
Find g(x), where g(x) is the translation 6 units left of f(x) = x².

Write your answer in the form a(x - h)+k, where a, h, and k are integers.

User XKobalt
by
8.8k points

1 Answer

5 votes

The function g(x) can be expressed as g(x) = a(x - h) + k, where a is the coefficient of x (which is 1 for f(x) = x^2), h is the horizontal shift, and k is the vertical shift.

To translate a function 6 units left, we need to shift it horizontally by -6 units. So, h = -6.

Since the function g(x) is a translation of f(x), a and k will have the same values as in f(x). In this case, a = 1 and k = 0.

Therefore, the function g(x) that represents the translation 6 units left of f(x) is:

g(x) = a(x - h) + k

= 1(x - (-6)) + 0

= 1(x + 6) + 0

= x + 6

the answer is: g(x) = x + 6

User Dave Halter
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories