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The graphs below have the same shape. What is the equation of the blue graph?

The graphs below have the same shape. What is the equation of the blue graph?-example-1

2 Answers

5 votes

Answer:

Option B is correct.

Explanation:

G(x) = x^2

then f(x) = x^2-4

since the graph is shifted 4 units down because when something is subtracted from the function the graph is shifted down.

that's why f(x) = x^2-4.

Hence Option B is correct.

User JoshuaBox
by
8.4k points
3 votes

For this case we have that by definition of vertical translations of functions, it is fulfilled:

Assume
k> 0:

To graph
y = f (x) + k, the graph k units is moved up.

To graph
y = f (x) -k, the graph moves k units down.

In the figure it is observed that:

The original function is
G (x) = x ^ 2, the function was moved 4 units down. So, the new function is:


F (x) = x ^ 2-4

Answer:

Option B

User Munsterlander
by
7.9k points

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