Question

Describe the translation y=x^2+5

Answer 1

Answer:

The transformation moves the graph of the function up 5 units

Step-by-step explanation:

If we have a function f(x) then the transformation

$g (x) = f (x) + c$  vertically shifts the graph of f(x) c units

If $c> 0$ the graph moves c units up

If $c$ the graph moves c units down

In this case the main function is $f (x) = x ^ 2$

and $g (x) = f (x) + 5 = x ^ 2 +5$

Therefore the transformation moves the graph of the function up 5 units

Answer 2

ANSWER

$y = {x}^{2} + 5$

EXPLANATION

The given function is

$y = {x}^{2} + 5$

The base of this function is

$f(x) = {x}^{2}$

The translation is of the form.

$y = f(x) + k$

where k is a vertical translation k units up.

$y = {x}^{2} + 5$

Therefore the translation is a shift up by 5 units.