Quadrilateral STUV with vertices S(−5, −2), T(−4, 7), U(0, 5), and V(3, −6) is dilated by a scale factor of 53. Which statement is false?

A Quadrilateral STUV is larger than quadrilateral S′T′U′V′.
A , Quadrilateral , STUV , is , larger, than quadrilateral , S′T′U′V′, .

C The algebraic representation of the dilation is (x, y)→(53x,53y)C , The algebraic representation of the dilation is open paren x comma y close paren rightarrow open paren 5 thirds x comma 5 thirds y close paren

D Quadrilateral STUV is smaller than quadrilateral S′T′U′V′

answer: 1, 3 and 5 are correct

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:

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