The function f(x) opens upwards, while g(x) opens downwards, and both functions pass through (0, 0), so the correct option is d.
What are the similarities/differences observed?
Here we have the two functions:
[tex]f(x) = 2x^2[/tex]
[tex]g(x) = -2x^2[/tex]
Notice tat g(x) = -f(x), which means that g(x) is a reflection across the x-axis of f(x).
The graphs of these functions can be seen below, the one that opens upwards is f(x), the one that opens downwards is g(x).
Then we can conclude that the true statement is:
"f opens upward; g opens downward; both pass through (0, 0)"
If you want to learn more about functions:
https://brainly.com/question/4025726
#SPJ1