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The parent function f(x) = x2 is translated such that the function g(x) = –x2 + 6x – 5 represents the new function.

What is true about the transformation that was performed? Check all that apply.
g(x) has an axis of symmetry at x = 3.
g(x) is shifted down 5 units from the graph of f(x).
g(x) is shifted right 3 units from the graph of f(x).
g(x) is shifted up 4 units from the graph of f(x).
g(x) is narrower than f(x).

Respuesta :

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Answer:

g(x) has an axis of symmetry at x = 3.

g(x) is shifted right 3 units from the graph of f(x)

g(x) is shifted up 4 units from the graph of f(x).

Step-by-step explanation:

The parent function is:

[tex]f(x)=x^2[/tex]

The transformed function is [tex]g(x)=-x^2+6x-5[/tex].

This new function can be rewritten in the vertex form as:

[tex]g(x)=-(x-3)^2+4[/tex]

This function is obtained by shifting the parent function 3 units right and 4 units up.

The axis of symmetry is x=3;(x=h) and h=3.

There is no horizontal stretch or compression.

The new function is however reflected in the x-axis

Step-by-step explanation:

on edge its A,C,D :)

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