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Elena-2011 [213]
3 years ago
15

The graph of g(x) = |x – h| + k is shown on the coordinate grid. What must be true about the signs of h and k?

Mathematics
2 answers:
9966 [12]3 years ago
8 0

D.The sign of h must be negative and the signal of k must be positive *it’s for sure the answer

astraxan [27]3 years ago
3 0

For this case we have:

The main function is:

y = f (x) = | x |

To move the graph vertically we have:

y = f (x) + k

If k> 0, the graph moves k units up

To move the graph horizontally we have:

y = f (x + h)

IF h> 0, the graph moves h units to the left

For this case, we want to move the graph k units up and h units counterclockwise. We have then, the following equation:

g (x) = | x - h | + k

Therefore, according to the definitions:

k> 0

h

Answer:

k> 0

h

Option: The sign of h must be negative, and the sign of k must be positive.

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