The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for
g(x)?
Question 18 options:
g(x) = (x + 6)2 - 5
g(x) = (x - 5)2 + 6
g(x) = (x + 5)2 - 6
g(x) = (x - 6)2 + 5
1 answer:
Answer:
g(x) = (x + 6)^2 - 5
Step-by-step explanation:
To translate f(x) to the left by 6 units, replace x with x+6.
To translate f(x) down 5 units, replace f(x) with f(x)-5.
Together, these replacements give you ...
... g(x) = f(x+6) -5
... g(x) = (x +6)^2 -5
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