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)?

A. g(x) = (x − 7)2 − 3

B. g(x) = (x + 7)2 − 3

C. g(x) = (x − 3)2 − 7

D. g(x) = (x − 3)2 + 7

Question

01-04-2022
Mathematics

Answered

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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)?

A. g(x) = (x − 7)2 − 3

B. g(x) = (x + 7)2 − 3

C. g(x) = (x − 3)2 − 7

D. g(x) = (x − 3)2 + 7

Sagot :

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24sread1idn 24sread1idn · Answer 1 · 2022-04-01T20:03:48-04:00

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7. However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K". In this case it is translated down so its -3.

If it was translated up or right then its positive. If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in. h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

Sagot :

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