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The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x2
g(x) = ?
9(x) =
O A. g(x) = x² - 2
B. g(x) = (x - 2)2
c. g(x) = x + 2
D. Q(x) = (x + 2)2

The Graphs Below Have The Same Shape What Is The Equation Of The Blue Graph Fx X2 Gx 9x O A Gx X 2 B Gx X 22 C Gx X 2 D Qx X 22 class=

Sagot :

XKelvinidn

Answer:

B

Step-by-step explanation:

The red graph is represented by the function:

[tex]f(x)=x^2[/tex]

And we want the equation of the blue graph.

We can see that the blue graph is simply the red graph shifted 2 units horizontally to the right.

A horizontal transformation is given by:

[tex]f(x-h)[/tex]

Where h is the number of units we shift (to the right).

Since we shifted two units to the right, h = 2.

So, our new function will be:

[tex]g(x)=f(x-2)=(x-2)^2[/tex]

Therefore:

[tex]g(x)=(x-2)^2[/tex]

Our answer is B.

Notes:

A represents a vertical shift of two units downwards.

C (assuming it is x²) represents a vertical shift of two units upwards.

And D (if you let h = -2, then f(x - (-2)) = f(x + 2) = (x + 2)²) is a horizontal shift of two units to the left.

The equation of the blue graph is B. g(x) = (x - 2)².

What is a graph?

A graph simply means a diagram that represents the variation of a variable when compared with other variables.

In this case, the red graph is illustrated by f(x) = x². The blue graph in this case is simply the red graph shifted two units horizontally.

Therefore, the equation of the blue graph will be:

= (x - 2)².

In conclusion, g(x) = (x - 2)².

Learn more about graph on:

https://brainly.com/question/21170522

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