Let f(x) =4|x|. If g(x) is the graph of f(x) shifted right 6 units, write a formula for g(x). g(x)=

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

let

step

find the slope of the line ab

we know that

the formula to calculate the slope between two points is equal to

substitute the values

step

find the equation of the line ab with the slope m and point a

we know that

the equation of the line in the slope-point form is equal to

substitute the values

convert to function form

let

therefore

the answer is the option

see the attached figure to better understand the problem