The parent function f(x) = x3 is transformed to g(x) = (x – 1)3 + 4. Identify the graph of g(x).

1st Graph is (A)
2nd Graph is (B)
3rd Graph is (C)
4th Graph is (D)
5th Graph is (E)

The parent function fx x3 is transformed to gx x 13 4 Identify the graph of gx 1st Graph is A 2nd Graph is B 3rd Graph is C 4th Graph is D 5th Graph is E class=
The parent function fx x3 is transformed to gx x 13 4 Identify the graph of gx 1st Graph is A 2nd Graph is B 3rd Graph is C 4th Graph is D 5th Graph is E class=
The parent function fx x3 is transformed to gx x 13 4 Identify the graph of gx 1st Graph is A 2nd Graph is B 3rd Graph is C 4th Graph is D 5th Graph is E class=
The parent function fx x3 is transformed to gx x 13 4 Identify the graph of gx 1st Graph is A 2nd Graph is B 3rd Graph is C 4th Graph is D 5th Graph is E class=
The parent function fx x3 is transformed to gx x 13 4 Identify the graph of gx 1st Graph is A 2nd Graph is B 3rd Graph is C 4th Graph is D 5th Graph is E class=

Respuesta :

Answer:

Step-by-step explanation:

Given is a graph of parent funciton

[tex]f(x) = x^3[/tex]

This graph is made into a series of transformations as horizontal shift by 1 unit to the right and vertical shift of 4 units  up to get new funciton as

[tex]g(x) = (x-1)^3+4[/tex]

Hence we must have a graph which has horizontal shift of 1 unit to the right and vertical shift 4 units up.

Option A is the same as given hence incorrect

Option B has horizontal shift to left hence incorrect

Option C has vertical shift down by 5 units incorrect

Option D is correct since it passes through (1,4) and also hor shift, vert shift are right

Answer:

The correct answer is graph E

Step-by-step explanation:

plato confirmed travels through 4