Question

I need help with my homework quiz.
If f(x) = x^3 and g(x) = (x + 1)^3, which is the graph of g(x)?

1) a vertical transformation of f(x) 1 unit upward
2) a horizontal transformation of f(x) 1 unit to the left
3) a horizontal transformation of f(x) 1 unit to the right
4) a vertical transformation of f(x) 1 unit downward
5) a vertical transformation of f(x) 3 units downward

Answer 1

What doyou think the answer is

Answer 2

I believe the answer is #3 but im not sure, if someone could show me what to do for the problem ill do it.

Answer 3

well the transformation is affecting the x variable
and usually setting the x to zero will show you what to do with the coordinate
so doing that what do you get

Answer 4

well i was meaning x+1=0
so x=-1

Answer 5

and you already established it was a horizontal transformation since it afects the x

Answer 6

so transformation to the left since x=-1?

Answer 7

yes! :)

Answer 8

Thank you!(: Will you help me with my others?(:

Answer 9

haha no problem
ill do what i can xD

Answer 10

If the function y = x^5 is transformed to y = x^5 + 3, which statement is true about the transformed function?

1) It is an even function.
2) It is an odd function.
3) It is neither an even nor an odd function.
4 )It is both an even and an odd function.
5) It is symmetric with respect to the x-axis.

Answer 11

Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = - f(x), the function is odd.

Answer 12

so it would be even?

Answer 13

woops wrong q

Answer 14

well it wouldnt be even because solving with a -x does not give the same result

Answer 15

the function is exactly the same except for a 3 added to the y which would be a vertical transformation

Answer 16

so i think it would be 3

Answer 17

ohh since it adds 3 and thats for the Y and not the X.

Answer 18

yes