Consider the line
y=x

if the line is dilated by a factor of 2, what is the equation of the resulting line?
if the resulting line is translated 3 units up, what is the equation of the resulting line?

y = 2x, y = 2x + 3

Step-by-step explanation:

When a line is dilated by a factor of "a", we multiply that by "a".

So when we dilate y = x by a factor of 2, the resulting equation is:

y = 2*x

y = 2x

When we translate "b" units up the resulting equation would be

y = x + b

Since we have y = 2x, now we will translate 3 units up, so it becomes:

y = 2x + 3

srry idk

step-by-step explanation:

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