5. what's the transformations change the graph of f (x) to the graph of g (x) ?

f (x) = x^2

g (x) = (x+3) ^2-7

A) the graph of g is the graph of f translated the the right 3 units and up 7 units.

B) the graph of g is the graph f translated to the left 3 units and down 7 units.

C) the graph of g is the graph f translated up 3 units and the the left 7 units

D) the graph of g is the graph f translated down 3 units and to the right 7 units.

Question

Yaretzi Wheeler

Mathematics

24 June, 18:56

5. what's the transformations change the graph of f (x) to the graph of g (x) ?

f (x) = x^2

g (x) = (x+3) ^2-7

A) the graph of g is the graph of f translated the the right 3 units and up 7 units.

B) the graph of g is the graph f translated to the left 3 units and down 7 units.

C) the graph of g is the graph f translated up 3 units and the the left 7 units

D) the graph of g is the graph f translated down 3 units and to the right 7 units.

+4

Answers (1)

Know the Answer?

Yasmine Montoya · Answer 1

B

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

Given f (x) then f (x) + c is a vertical translation of f (x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Given

f (x) = x², then

g (x) = (x + 3) ² - 7

is a shift to the left of 3 units and down 7 units → B