For f (x) = x^2 and g (x) = (x-5) ^2 in which direction and by how many units should f (x) be shifted to obtain g (x) ?

A.) up 5 units

B.) down 5 units

C.) left 5 units

D.) right 5 units

Question

Esmeralda Molina

Mathematics

7 June, 22:53

For f (x) = x^2 and g (x) = (x-5) ^2 in which direction and by how many units should f (x) be shifted to obtain g (x) ?

A.) up 5 units

B.) down 5 units

C.) left 5 units

D.) right 5 units

+4

Answers (1)

Know the Answer?

Jonathon Sloan · Answer 1

D

Step-by-step explanation:

Given f (x) then f (x + a) is a horizontal translation of f (x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus

(x - 5) ² represents a shift of f (x) to the right of 5 units

For f (x) = x^2 and g (x) = (x-5) ^2 in which direction and by how many units should f (x) be shifted to obtain g (x) ?A.) up 5 unitsB.) down 5 unitsC.) left 5 unitsD.) right 5 units

For f (x) = x^2 and g (x) = (x-5) ^2 in which direction and by how many units should f (x) be shifted to obtain g (x) ?

A.) up 5 units

B.) down 5 units

C.) left 5 units

D.) right 5 units