Question

HELP!

What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=1.5x ?



g(x)=1.5x−4
g(x)=1.5x−3
g(x)=1.5x+2
g(x)=1.5x−2

Answer 1

The correct answer is g(x)=1.5^x-4

Answer 2

`g(x)=1.5^(x)-4`

Explanation:

we have

`f(x)=1.5^(x)`

the y-intercept of the function f(x) is for x equal zero

so

`f(0)=1.5^(0)=1`

The y-intercept of f(x) is the point
`(0,1)`

The function g(x) in the graph has the y-intercept equal to
`-3`

The y-intercept of g(x) is the point
`(0,-3)`

therefore

the rule of the translation is

`(0,1)------->(0,-3)`

`(x,y)------->(x,y-4)`

that means

the translation is
`4` units down

the equation of g(x) is equal to

`g(x)=1.5^(x)-4`