Ursula's triangle has vertices at f(−7,−8), g(−6,−3), and h(5,6). if she translates her triangle 6 units down and 4 units to the left, what are its new vertices?

new F=(-7-4,-8-6)= (-11,-14)

new G= (-6-4,-3-6) = (-10,-9)

new H= (5-4,6-6) = (1,0)

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

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: