Which of the following describes the transformation of g(x) = 3(2)* +2 from the parent function f(x) = 2%?
reflect across the x-axis, stretch the graph vertically by a factor of 3, shift 2 units up
rets across the y-axis, stretch the graph vertically by a factor of 2, shift 3 units up
reflect across the x-axis, stretch the graph vertically by a factor of 2, shift 3 units up
reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

Respuesta :

Answer: Reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

The correct option is, (D) Reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.

What is a parent function example?

  • A parent function is the simplest function that still satisfies the definition of a certain type of function.
  • For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x.
  • This is the simplest linear function.

What are the 4 parent functions?

  • These elementary functions include rational functions, exponential functions, basic polynomials, absolute values and the square root function.

What is parent functions and transformations?

  • The transformation of the parent function is shown in blue.
  • It is a shift down (or vertical translation down) of 1 unit Reflection.
  • A reflection on the x-axis is made on a function by multiplying the parent function by a negative.
  • Multiplying by a negative flips” the graph of the function over the x-axis.

What is a constant parent function?

  • A linear function is a function whose graph is a straight line and its parent function is written as y = x.
  • A special type of linear function is the constant function, a function whose output value has the same result for every input value and it is written as y = b.

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