Question

Will pick brainliest! What is the function f(x)=3x-7 translated 6 units up and 2 units right

Answer 1

Answer:

f(x) = 3x – 1

Step-by-step explanation:

f(x) = 3x – 7 also known as y = 3x – 7

Translated 6 units up:

y (+ 6) = 3x – 7

y + 6 = 3x – 7

y = 3x – 13

2 units right:

y = 3(x + 2) – 7

y = 3x + 6 – 7

y = 3x – 1

Answer 2

Answer:

Step-by-step explanation:

the function f(x)=3x-7 is:

vertically compressed by a factor of three

down 7 units

now we translate it 6 units up

so... f(x)=3x-7⇒f(x)=3x-7+6⇒f(x)=3x-1

to translate a linear function horizontally, you have to consider:

f(x-h)=mx+b, where h is the horizontal shift,

thus, to translate f(x)=3x-1     2 units right, we do it :

f(x-2)=3x-1  

f(x)+f(-2)=3x-1  

f(-2)=3*(-2)-1

f(-2)=-6-1

f(-2)=-7

f(x)+(-7)=3x-1  

f(x)-7=3x-1  

f(x)=3x+6