Which function represents g(x), a reflection of f(x) = 4(one-half) superscript x across the x-axis?

g(x) = −4(2)x
g(x) = 4(2)−x
g(x) = −4(one-half) superscript x
g(x) = 4(one-half) superscript negative x

Step-by-step explanation:

we have

we know that

The rule of the reflection across the x-axis is

(x,f(x)) ------> (x,-f(x))

therefore

g(x) = −4(one-half) Superscript x

see the attached figure to better understand the problem

Step-by-step explanation:

we have

we know that

The rule of the reflection across the x-axis is

(x,f(x)) > (x,-f(x))

therefore

g(x) = −4(one-half) Superscript x

see the attached figure to better understand the problem

answer: true

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.