The graph g(x) = 2(x + 8) is a horizontal shift of f(x) by 8 units right.
What is graph?
Graph is a diagram showing the relation between variable quantities through different plots.
What is a graph shifts?
Transformation of the entire graph of a function up, down, right, or left.
Types of graph shift?
There are two types of graph shift one is vertical graph shift and other is horizontal graph shift.
What is vertical shift?
Vertical shift moving the graph up or down, because this transformation involves adding a positive or negative constant to the function. If the initial function is f(x) then g(x)=f(x)±k, the function f(x) is shifted vertically k units up or down.
What is horizontal shift?
Horizontal shifts are inside changes that affect the input (x−) axis values and shift the function left or right. if the initial function is f(x) then g(x)=f(x±k), the function f(x) is shifted vertically k units left or right.
The graph f(x) = 2x is a straight line passing through origin
The graph g(x) = 2(x + 8) is a horizontal shift of f(x) by 8 units right.
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