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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)?
A. g(x) = (x + 6)2  5
B. g(x) = (x  5)2 + 6
C. g(x) = (x  6)2 + 5
D. g(x) = (x + 5)2  6
 one year ago
 one year ago
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)? A. g(x) = (x + 6)2  5 B. g(x) = (x  5)2 + 6 C. g(x) = (x  6)2 + 5 D. g(x) = (x + 5)2  6
 one year ago
 one year ago

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CalcmathleteBest ResponseYou've already chosen the best response.2
The form that you need to use here is: \[g(x) = (x  h)^2 + k\]Where h = 6 and k = 5 Can you simplify to find your answer?
 one year ago

EmilyJerniganBest ResponseYou've already chosen the best response.0
umm... no. ha. i have no clue how to do it
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.2
Alright. I can walk you through it then :) First of all, do you get how I got 6 for h? When you think about it, if you were to go the the right by 6, you would get h = 6 since going to the right is generally thought of as a positive direction. However, since it's going to the left by 6, it's h = 6 since left is a negative direction. Same for the k part. It moves down by 5 which is a negative direction. Now you just plug in numbers.
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.2
Now, just substitute in what you have for h and k in order to finish up. \[y = (x  (6))^2 +  5 \implies ?\]You have to think. A negative times a negative is a positive. A negative times a positive is a negative. So, it would become: \[y = (x + 6)^2  5\]Do you get it?
 one year ago

EmilyJerniganBest ResponseYou've already chosen the best response.0
yeah. but i dont understand how thats gonna get me my ansswer
 one year ago

alexwee123Best ResponseYou've already chosen the best response.0
@EmilyJernigan he just gave you the answer :D
 one year ago

EmilyJerniganBest ResponseYou've already chosen the best response.0
He has two as an exponent or whatever. but thats not on any of my answers
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.2
It was just a fail in the copy and paste. When you copy and paste problems, the exponent does not maintain the exponent size, but rather becomes a regular number, so the 2 after the parentheses are meant to be exponents.
 one year ago
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