The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A prime B prime C prime are shown. A is at 3, 1. B is at 2, 6. C is at 6, 5. A prime is at negative 5, 4. B prime is at negative 6, 9. C prime is at negative 2, 8. Which of the following completes the rule for this translation, (x, y) → (x − 8, ___)? (5 points)

y-3

Choose a point, any is fine. (I chose point c)

Count how many spaces it to get from point C to where point C' is on the x axis. (It already gave it to us. its 8)

Then count how many spaces it takes to get to C' on the y axis. (In this case you are counting down because A'B'C' is beneath ABC.)

I am extremely terrible at explaining things but hope this helps.

Step-by-step explanation:

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.

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