If f (x) = (x + 7) ^2, which of the following is g (x) based on the translation?

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

g (x) = (x + 5) ^2

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

g (x) = (x - 5) ^2

Question

Mathematics

Kylee Hahn

23 December, 10:55

If f (x) = (x + 7) ^2, which of the following is g (x) based on the translation?

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

g (x) = (x + 5) ^2

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

g (x) = (x - 5) ^2

+2

Answers (1)

Know the Answer?

Elsie Berger · Answer 1

F (x) = (x+7) ²

(x+7) (x+7) = x (x+7) + 7 (x+7) = x² + 7x + 7x + 49 = x² + 14x + 49

(x+9) ² = (x+9) (x+9) = x (x+9) + 9 (x+9) = x² + 9x + 9x + 81 = x² + 18x + 81

(x+5) ² = (x+5) (x+5) = x (x+5) + 5 (x+5) = x² + 5x + 5x + 25 = x² + 10x + 25

(x-9) ² = (x-9) (x-9) = x (x-9) - 9 (x-9) = x² - 9x - 9x + 81 = x² - 18x + 81

(x-5) ² = (x-5) (x-5) = x (x-5) - 5 (x-5) = x² - 5x - 5x + 25 = x² - 10x + 25

I think g (x) based on the translation would be g (x) = (x+9) ²

If f (x) = (x + 7) ^2, which of the following is g (x) based on the translation?g (x) = (x + 9) ^2g (x) = (x + 5) ^2g (x) = (x - 9) ^2g (x) = (x - 5) ^2

If f (x) = (x + 7) ^2, which of the following is g (x) based on the translation?

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

g (x) = (x + 5) ^2

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

g (x) = (x - 5) ^2