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marta [7]
3 years ago
5

The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?

Mathematics
1 answer:
siniylev [52]3 years ago
7 0

Answer:

A.

Step-by-step explanation:

Anwer A has the following equation:

g(x)=\frac{3}{5}x^2-3

In this equation, we can calculated the intercept replacing x by 0, as:

g(x)=\frac{3}{5}0^2-3=-3

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, g(x)=\frac{3}{5}x^2-3

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