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1 year ago

Write the equation for function g(x)

Mathematics

1 answer:

iragen [17]1 year ago

5 0

Answer:

g(x) = (x + 2)^2 + 1

Step-by-step explanation:

From the graph/image that you have provided said translated shift of

f(x) -> g(x)

f(x) = x^2 , g(x) = a(x -h)^2 +k

h is shift right/left

k is shift up/down.

It appears that the shift is left 2 and up 1.

h = -2 and k = 1

g(x) = (x - (-2))^2 +1

g(x) = (x + 2)^2 + 1

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2 years ago

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Solve for the x-max or h :\
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plug it in to equation to get k:/
$y(2)=-2(2)^2+8(2)+3$
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$y=a(x-2)^2+11
$
solve for a by pluging (0,0)
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