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Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 2 x squared. G (x) = negative 2 x squared
a.

f opens downward; g opens upward; both pass through different y-intercepts
b.

both open downward; both pass through (0, 0)
c.

both open upward; both pass through different y-intercepts
d.

f opens upward; g opens downward; both pass through (0, 0)

Graph the following pair of quadratic functions and describe any similaritiesdifferences observed in the graphs f x 2 x squared G x negative 2 x squared a f ope class=

Respuesta :

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

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