The function f(x) = 0.11(3)x is reflected over the x-axis to produce function g(x). Function g(x) is then reflected over the y-axis to produce function h(x). Which function represents h(x)?

h(x) = –0.11(3)x
h(x) = 0.11(3)–x
h(x) = 0.11(3)x
h(x) = –0.11(3)–x

Answer :

See

  • f(x)=0.11(3)x

This is general form of line y=mx

it passes through origin as y intercept is 0

It's one half present in Q3 and one in Q1 as slope is positive

#1

Reflection over x axis

Present now in Q2 and Q4

#2

Reflection over y axis

present now in Q3 and Q1

It's as per f(x)

  • h(x)=f(x)=0.11(3)x
semsee45

Answer:

[tex]h(x)=-0.11(3)^{-x}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=0.11(3)^x[/tex]

Reflection in the x-axis:

When reflecting a function in the x-axis, make the whole function negative:

[tex]\implies g(x)=-f(x)[/tex]

[tex]\implies g(x)=-0.11(3)^x[/tex]

Reflection in the y-axis:

When reflecting a function in the y-axis, make the x variable negative:

[tex]\implies h(x)=g(-x)[/tex]

[tex]\implies h(x)=-0.11(3)^{-x}[/tex]

Learn more about graph transformations here:

https://brainly.com/question/27845947

https://brainly.com/question/27962370

${teks-lihat-gambar} semsee45
${teks-lihat-gambar} semsee45

Other Questions