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The graph of f(x) = x2 was transformed to create a graph g(x) =f(x)−6.

Which statement about the graphs is true?

A) The vertex of the graph of g is 6 units above the vertex of the graph of f.

B) The vertex of the graph of g is 6 units to the right of the vertex of the graph of f.

C) The vertex of the graph of g is 6 units to the left of the vertex of the graph of f.

D) The vertex of the graph of g is 6 units below the vertex of the graph of f.

Respuesta :

Answer:

A

Step-by-step explanation:

Option D is correct. The vertex of the graph of g is 6 units below the vertex of the graph of f.

What is intercept?

The equation y = mx + c is the general equation of any straight line  where m is the slope of the line and c is the y-intercept.

According to the question we have

[tex]f(x) = x^{2} \\g(x) = f(x)-6[/tex]

From the above function it is clear that the equation for the graph of g(x) will be

[tex]g(x) = x^{2} -6[/tex]

Since, the y intercept of function f(x) is zero, therefore the function g(x), 6 units below the intercept of the function f(x).

Hence, option D is correct. The vertex of the graph of g is 6 units below the vertex of the graph of f.

Learn more about intercept here:

https://brainly.com/question/14180189

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