Question

Shifting Functions
The graphs below have the same shape. What is the equation of the blue
graph?
f(x)=x²
5
g(x) = ?
W
-5
5
g(x) =
10

Answer 1

A function assigns the values. The equation of the blue graph is g(x) = f(x+3) - 2.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The graph of g(x) is the graph of f(x)(Black graph) that is moved 2 units down and 3 units to the left. Therefore, the function g(x) can be written as,

g(x) = f(x+3) - 2

Hence, the equation of the blue graph is g(x) = f(x+3) - 2.

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