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In the function y=3(x+1)^2+7 , what effect does the number 7 have on the graph, as compared to the graph of the function y=x^2 ?

A. It shifts the graph up 7 units.

B. It shifts the graph down 7 units.

C. It shifts the graph 7 units to the left.

D. It shifts the graph 7 units to the right.

***Idk im kinda confused... please explain?? thanks :)

Respuesta :

syed514
As the given parent function is

  f(x) = x^2

then updated one would be with teh k

  f(x) = a(x-h)^2 + k

K allows us to shifts up the value
so
k=7 would shifts the graphs up 7 units.

Answer:

It shifts the graph 7 units to the right.

Step-by-step explanation:

In the function [tex]y=3(x+1)^2+7[/tex]

we need to find the effect of the number 7 on the graph

Parent function is [tex]y=x^2[/tex]

f(x) --> f(x) +a , the graph will be translated 'a' units to the right

f(x) --> f(x) -a , the graph will be translated 'a' units to the left

7 is added at the end of f(x)

So the graph will be shifted 7 units to the right

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