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aalyn [17]
3 years ago
7

Suppose the g(x)=f(x+8)+4. Which statement best compare the graph of g(x) with the graph of f(x)?

Mathematics
1 answer:
daser333 [38]3 years ago
8 0
In the translation of graph,
the image is
g(x)=f(x-h)+k
where
h=translation to the right
k=translation upwards.

For the given transformation, 
g(x)=f(x-(-8))+4
we see that h=-8, k=+4
so we conclude that g(x) is a translation of f(x) 8 units to the left, and 4 units up.
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Then, you place the sign of the second term (the x term) in the first parenthesis.

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Next, you multiply the signs of the x term and the sign of the constant (the third term).
Since + × - = -, then you place a -.

(x+ )(x- )=0

You look at the constant (-18) and the second term (3). What two numbers multiplied give you -18 but subtracted (since the signs inside the parenthesis are opposite) give you 3? Those numbers are 6 and 3.
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Your roots are -6 and 3.
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