The function g (x) is a translation of f (x) = (x + 3) 2 - 10. The axis of symmetry of g (x) is 5 units to the right of f (x). Which function could be g (x) ?

g (x) = (x - 2) 2 + k

g (x) = (x + 8) 2 + k

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

g (x) = (x - h) 2 - 15

Question

Mathematics

Soren Stokes

5 November, 20:47

The function g (x) is a translation of f (x) = (x + 3) 2 - 10. The axis of symmetry of g (x) is 5 units to the right of f (x). Which function could be g (x) ?

g (x) = (x - 2) 2 + k

g (x) = (x + 8) 2 + k

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

g (x) = (x - h) 2 - 15

+3

Answers (1)

Know the Answer?

Natalya Hart · Answer 1

Y = (x-h) ^2+k

a shift to the right by c units would be y = (x-h-c) ^2+k

so 5 to the right

g (x) = (x+3-5) ^2-10

g (x) = (x-2) ^2-10

first option

The function g (x) is a translation of f (x) = (x + 3) 2 - 10. The axis of symmetry of g (x) is 5 units to the right of f (x). Which function could be g (x) ?g (x) = (x - 2) 2 + kg (x) = (x + 8) 2 + kg (x) = (x - h) 2 - 5g (x) = (x - h) 2 - 15

The function g (x) is a translation of f (x) = (x + 3) 2 - 10. The axis of symmetry of g (x) is 5 units to the right of f (x). Which function could be g (x) ?

g (x) = (x - 2) 2 + k

g (x) = (x + 8) 2 + k

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

g (x) = (x - h) 2 - 15