Question

The function y = (x - 4)2 + 3 is a transformation of the function y = x?. How is the function's vertex affected by the
transformation?
The vertex of the graph of y = x? is shifted to the left 4 units and down 3 units.
The vertex of the graph of y = x? is shifted to the left 3 units and down 4 units.
The vertex of the graph of y = x is shifted to the right 3 units and up 4 units.
The vertex of the graph of y = x?is shifted to the right 4 units and up 3 units.

Answer 1

Answer: The vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units

Step-by-step explanation:

Answer 2

Option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.

What is graph of a function?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The function y = (x - 4^)2 + 3

Plot the graph on substituting the function $y=x^{2}$ as shown in the graph below.

On comparing the two functions, the transformation of the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units.

Thus the function y = (x - 4)^2 + 3 is a transformation of the function         y = x^2.

Hence we can conclude that option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.

Learn more about graph of a function here

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