MATH SOLVE

4 months ago

Q:
# What value represents the vertical translation from the graph of the(x+5)2+3?0 -5O-3

Accepted Solution

A:

Answer:The value 3 represents the vertical translation upwards of [tex]f(x)[/tex] to [tex]g(x)[/tex]Step-by-step explanation:The question is incomplete or missing data.The correct questionWhat value represents the vertical translation from the graph of the parent function [tex]f(x) = x^2[/tex] to the graph of the function
[tex]g(x) = (x + 5)^2 + 3[/tex]?Given functions:Parent function [tex]f(x) = x^2[/tex]Translated function [tex]g(x) = (x + 5)^2 + 3[/tex]Translation rulesFor horizontal shift[tex]f(x)\rightarrow f(x+c)[/tex]
If [tex]c>0[/tex] the function shifts [tex]c[/tex] units to the left.
If [tex]c<0[/tex] the function shifts [tex]c[/tex] units to the right.
For vertical shift[tex]f(x)\rightarrow f(x)+c[/tex]
If [tex]c>0[/tex] the function shifts [tex]c[/tex] units to the up.
If [tex]c<0[/tex] the function shifts [tex]c[/tex] units to the down.
From the functions given the translation rule can be given as:[tex]f(x)\rightarrow f(x+5)+3[/tex][tex]g(x)=f(x+5)+3[/tex]This shows the graph is shifted left by 5 units and upwards by 3 units.Thus the value 3 represents the vertical translation of [tex]f(x)[/tex] to [tex]g(x)[/tex]