Respuesta :

onyebuchinnaji

The rule for g(x) when vertically stretched by a factor of 5 followed by a horizontal shift right 2 units is [tex]5(x-2)^2[/tex]

Your question is not complete, it seems to be missing the following information below;

"If f(x) = x², write the rule for g(x)"

The general rules for the translation of a function is given below;

  • To stretch vertically by a factor of m = m·f (x)  
  • To shrink vertically by a factor of m  = [tex]\frac{1}{m} f(x)[/tex]
  • To shift a function horizontally  by m units to the right = f(x - m)
  • To shift a function by m units up = f(x+ m)

The rule for g(x) when vertically stretched by a factor of 5 followed by a horizontal shift right 2 units is calculated as;

[tex]g(x) = f(5(x-2) )= 5(x-2)^2[/tex]

Thus, the rule for g(x) when vertically stretched by a factor of 5 followed by a horizontal shift right 2 units is [tex]5(x-2)^2[/tex]

Learn more here: https://brainly.com/question/16857603

Using shifting concepts, it is found that the function is given by:

a) g(x) = x + 2.

----------------------

  • Vertically stretching a function f(x) by a factor of b is the same as multiplying it by b, that is, [tex]bf(x)[/tex].
  • Shifting a function f(x) to the right a units is the same as finding f(x + a).

----------------------

  • The parent function is: [tex]f(x) = x[/tex]
  • Vertically stretching by a factor of 5, [tex]5f(x) = 5x[/tex]
  • Shifting right 2 units, [tex]g(x) = f(x+2) = 5(x + 2)[/tex], given by option c.

A similar problem is given at https://brainly.com/question/18634423

Otras preguntas