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Graph the function. Describe its position relative to the graph of the indicated basic function.
f(x)= 4^x-3 ; relative to f(x)= 4^x

Graph the function Describe its position relative to the graph of the indicated basic function fx 4x3 relative to fx 4x class=
Graph the function Describe its position relative to the graph of the indicated basic function fx 4x3 relative to fx 4x class=

Respuesta :

Answer:

The answer is (b) moved right 3 units and moved down 3 units

Step-by-step explanation:

∵ f(x) = 4^x ⇒ red in the graph

∵ f(x) = 4^(x-3) - 3 ⇒ blue in the graph

x  becomes x - 3 ⇒ means:

 The graph moved right 3 units

∵ f(x) = 4^x becomes 4^(x-3) - 3 ⇒ means:

  The graph moved down 3 units

∴ The answer is (b)

Ver imagen Ashraf82

The graph of f(x) = 4ˣ - 3  is shifted down 3 units compared to the graph of f(x) = 4ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

The graph of f(x) = 4ˣ - 3 and f(x) = 4ˣ is attached.

The graph of f(x) = 4ˣ - 3  is shifted down 3 units compared to the graph of f(x) = 4ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Ver imagen raphealnwobi