Mathematics
nolegirl24:

The graph of f(x) = x^2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)? g(x) = (x + 3)^2 g(x) = x^2 − 3 g(x) = x^2 + 3 g(x) = (x − 3)^2

5 months ago
nolegirl24:

B or D?

5 months ago
dude:

Yes so the general equation is \(f(x)=(x-h)^2+k\) The value of h is how much it translates left or right (So if its (x-5) it goes right 5, likewise (x+5) means it goes left 5)

5 months ago
nolegirl24:

So would the final answer be D?

5 months ago
dude:

Correction: \(f(x)=a(x-h)^2+k\)

5 months ago
dude:

Not quite, the opposite Its counterintuitive -3 is right and +3 is left

5 months ago
nolegirl24:

So.........A.......?

5 months ago
dude:

Yes

5 months ago
nolegirl24:

Okie ^~^

5 months ago
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