The larson's tent corners have the coordinates (0,5), (5,5), (5,0), (0,0). they want to move it 5 units right and 2 units up. what are the new coordinates of the tent corners.

The new coordinates are  (5,7),  (10,7),  (10,2),  (5,2)

Step-by-step explanation:

If we have coordinates (x,y), we can do the following transformations:

We see that UP/DOWN affects the y coordinate and RIGHT/LEFT affects the x coordinate. When we will have combination of both, we follow the rules with both.

Now,

5 units right will affect x coordinate [add 5]

2 units up will affect y coordinate [add 2]

We do these with 4 coordinates respectively. Shown below:

(0,5) > (5,7)

(5,5) > (10,7)

(5,0) > (10,2)

(0,0) > (5,2)

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

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! : )

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