Starting from the point (0,0), a grasshopper makes a series of moves on the coordinate plane. the grasshopper's first move takes her to (3,4). she then proceeds via this rule:
move rule: after a move which adds (x, y) to the grasshopper's coordinates, her next move adds either (x, y-1) or (x-1,y) to her coordinates.
thus, her second move adds either (3,3) or (2,4) to her position, landing her at (6,7) or (5,8) accordingly.
if the grasshopper's x and y coordinates never decrease, and if she ends at the point (a, a) where a is as large as possible, then what is the value of a?

we need the options

step-by-step explanation:

answer: 34rtyj,jkhtyetwrhyjeuiejnbhdfknbkguxfrbhkfdbjvkmbd,kvbsd.kxjvbhjnfbgjxdfn

step-by-step explanation:

the answer will be b x² +x-1

step-by-step explanation:

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: