What is the image point of (-6,3) after a translation right 5 units and down 3 units?

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

depends what are you allowed to do ?

there are many, many solutions to this problem.

here are 5 examples:

7555531, 7+5+5+5+5+3+1 = 31

7155553, 7+1+5+5+5+5+3 = 31

7735531, 7+7+3+5+5+3+1 = 31

7375531, 7+3+7+5+5+3+1 = 31

7335931, 7+3+3+5+9+3+1 = 31