Respuesta :
You can get the graph of the function [tex] y=2x^2+5 [/tex] (blue curve) translating the graph of the function [tex] y=2x^2 [/tex] (red curve) 5 units up (see attached diagram with two plotted graphs).
Answer: correct choice is A.

The translation of that we have here is a shift of 5 units upwards.
Which translation we have here?
Remember that for a function f(x), we can write a vertical translation of N units as:
g(x) = f(x) + N.
- If N is positive, the translation is upwards.
- If N is negative, the translation is downwards.
Here we have:
f(x) = 2x²
g(x) = 2x² + 5.
Then we can say that g(x) is a translation of 5 units up of the function f(x).
If you want to learn more about translations:
https://brainly.com/question/24850937
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