Question

HELP!

Answer 1

Answer:

$g(x)=1.5^{x}-4$

Step-by-step 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

$g(x)=1.5^{x}-4$

Answer 2

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