the graph of g(x) is a translation of the function f(x) = x2. the vertex of g(x) is located 5 units above and 7 units to the rig

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the graph of g(x) is a translation of the function f(x) = x2. the vertex of g(x) is located 5 units above and 7 units to the rig

ht of the vertex of f(x). which equation represents g(x)? g(x) = (x 7)2 5 g(x) = (x – 7)2 5 g(x) = (x 5)2 7 g(x) = (x – 5)2 7

Mathematics

2 answers:

Zina [12.3K] · Answer 1 · 2026-02-23T21:11:40+03:00

To indicate a rightward shift of 7 units, subtract 7 from the argument, resulting in f(x-7)

To indicate an upward shift of 5 units, add 5 to the function, giving f(x) + 5

Thus, g(x) = f(x-7) + 5 = (x-7)^2 + 5

By subtracting 7 from the function argument, the shift to the right is 7 units.

Adding 5 units to function f results in the graph moving 5 units upward.

lawyer [12.5K] · Answer 2 · 2026-02-23T21:13:15+03:00

Answer:

To signify a rightward translation of 7 units, we adjust the argument by subtracting 7, leading to f(x-7)

For a vertical translation of 5 units upwards, we increase the function by 5, resulting in f(x) + 5

Therefore, g(x) = f(x-7) + 5 = (x-7)^2 + 5

This adjustment of 7 units in the function's argument shifts it rightward by 7 units.

Increasing function f by 5 units raises the graph by 5 units.

Step-by-step explanation:

the graph of g(x) is a translation of the function f(x) = x2. the vertex of g(x) is located 5 units above and 7 units to the rig

The angles m∠Q and m∠S together equal 90°