Which sequence of transformations will map figure k onto figure k′?
two congruent kites, figure k and figure k prime, are drawn on a coordinate grid. figure k has vertices at 4, 3, at 6, 5, at 4, 8, and at 2, 5. figure k prime has vertices at 4, negative 8, at 6, negative 5, at 4, negative 3, and at 2, negative 5
reflection across x = 4, 180° rotation about the origin, and a translation of (x + 8, y)
reflection across x = 4, 180° rotation about the origin, and a translation of (x − 8, y)
reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y)
reflection across y = 4, 180° rotation about the origin, and a translation of (x − 8, y)

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a

6

step-by-step explanation: