jonyochoa761
jonyochoa761 jonyochoa761
  • 09-02-2020
  • Mathematics
contestada

which of the following describes the transformations of g(x)=-(2)^×+4-2​ from the parent function f(x)=2^×

which of the following describes the transformations of gx242 from the parent function fx2 class=

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serenashirlinoxcyh6 serenashirlinoxcyh6
  • 09-02-2020

Answer:

4 units to the left, reflected over the x-axis, shift two units down

Step-by-step explanation:

The vertex form of an exponential function is

[tex]y=ab^{x-h}+k[/tex], where:

h indicates a horizontal shift (positive left, negative right)

k indicates a vertical shift (positive up, negative down)

a indicates slope/reflection over X-axis (negative = reflected)

So looking at the function [tex]g(x)=-(2)^{x+4}-2[/tex]

h = 4, meaning moved 4 units to the left

k= -2, meaning moved 2 units down

a= -1, meaning reflected over x-axis

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