Question

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

Answer 1

Answer:

The value 3 represents the vertical translation upwards of $f(x)$ to $g(x)$

Step-by-step explanation:

The question is incomplete or missing data.

The correct question

What value represents the vertical translation from the graph of the parent function $f(x) = x^2$ to the graph of the function

$g(x) = (x + 5)^2 + 3$?

Given functions:

Parent function

$f(x) = x^2$

Translated function

$g(x) = (x + 5)^2 + 3$

Translation rules

For horizontal shift

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c<0$ the function shifts $c$ units to the right.

For vertical shift

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c<0$ the function shifts $c$ units to the down.

From the functions given the translation rule can be given as:

$f(x)\rightarrow f(x+5)+3$

$g(x)=f(x+5)+3$

This shows the graph is shifted left by 5 units and upwards by 3 units.

Thus the value 3 represents the vertical translation of $f(x)$ to $g(x)$