2 years ago

A translation occurred that moved 4 units left and 3 units up. If Point A was at ( -3, -2 ), what are the coordinates of A'?

Mathematics

1 answer:

snow_lady [41]2 years ago

4 0

Answer:

I think -7; +1

(sorry if I write this but the answer must be at least 20 characters long)

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Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

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ANSWER

The vertical asymptotes are

$\Rightarrow x=2\:or\:x=-1$

<u>EXPLANATION</u>

We have

$f(x)=\frac{x^2+4}{4x^2-4x-8}$

For vertical asymptotes we set the denominator to zero and solve the quadratic equation;

$4x^2-4x-8=0$

$\Rightarrow x^2-x-2=0$

We split the middle term to obtain,

$x^2+x-2x-2=0$

$\Rightarrow x(x+1)-2(x+1)=0$

$\Rightarrow (x-2)(x+1)=0$

$\Rightarrow x=2\:or\:x=-1$

Therefore the vertical asymptotes are

$x=2\:or\:x=-1$

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