Answer :
Answer:
[tex]g(x)=x^2+7[/tex]
[tex]g(x)[/tex] in the form [tex]a(x-h)^2+k[/tex] would be:
[tex]g(x)=(x-0)^2+7[/tex]
Step-by-step explanation:
Given:
Parent function:
[tex]f(x)=x^2[/tex]
Translation occurs 7 units up to get [tex]g(x)[/tex]
Translation Rules:
[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.
So, from the above rules [tex]g(x)[/tex] can be represented as:
[tex]g(x)=f(x)+7[/tex] [7 units up]
[tex]g(x)=x^2+7[/tex]
Writing [tex]g(x)[/tex] in the form [tex]a(x-h)^2+k[/tex] where [tex]a, h, and\ k[/tex] are integers.
[tex]g(x)=1(x-0)^2+7[/tex]
[tex]g(x)=(x-0)^2+7[/tex]
Answer:
x(squared) + 7
Step-by-step explanation:
ez