The function f (x) = x^2 has been translated 9 units up and 4 units to the right to form the function g (x). Which represents g (x) ?

g (x) = (x + 9) ^2 + 4

g (x) = (x + 9) ^2 - 4

g (x) = (x - 4) ^2 + 9

g (x) = (x + 4) ^2 + 9

Question

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Mathematics

15 May, 18:25

The function f (x) = x^2 has been translated 9 units up and 4 units to the right to form the function g (x). Which represents g (x) ?

g (x) = (x + 9) ^2 + 4

g (x) = (x + 9) ^2 - 4

g (x) = (x - 4) ^2 + 9

g (x) = (x + 4) ^2 + 9

+4

Answers (1)

Know the Answer?

Dragster · Answer 1

Hello,

This is one way:

The vertex is (4,9)

1) g (4) = (4+9) ²+4=13²+4≠9

2) g (4) = (4+9) ²-4=13²-4≠9

3) g (4) = (4-4) ²+9=0²+9=9 yes!

4) g (4) = (4+4) ²+9=8²+9≠9

Answer C

The function f (x) = x^2 has been translated 9 units up and 4 units to the right to form the function g (x). Which represents g (x) ?g (x) = (x + 9) ^2 + 4g (x) = (x + 9) ^2 - 4g (x) = (x - 4) ^2 + 9g (x) = (x + 4) ^2 + 9

The function f (x) = x^2 has been translated 9 units up and 4 units to the right to form the function g (x). Which represents g (x) ?

g (x) = (x + 9) ^2 + 4

g (x) = (x + 9) ^2 - 4

g (x) = (x - 4) ^2 + 9

g (x) = (x + 4) ^2 + 9