How do you graph $y = \frac{- 4 x^{2}}{x^{2} - 16}$ $y=(-4x^2)/(x^2-16)$ using asymptotes, intercepts, end behavior?

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Answer 1 · 2017-10-17T21:12:20

$- 4 x \frac{2}{x^{2} - 16}$ $-4x2/(x^2-16)$

Vertical asymptote :
$x = \pm 4$ $x = +-4$

Horizontal asymptote :
$y = - 4$ $y = -4$

Slant asymptote : No slant or oblique asymptote.

X intercept : $y = 0, x = 0$ $y=0, x = 0$
Y intercept : $x = 0, y = 0$ $x = 0, y =0$

$- 4 x \frac{2}{x^{2} - 16}$ $-4x2/(x^2-16)$

Vertical asymptote : equate denominator to 0.
$x = \pm 4$ $x = +-4$

Horizontal asymptote : leading coefficients division
$y = - 4$ $y = -4$

Slant asymptote : No slant or oblique asymptote as degrees are same in numerator and denominator.

X intercept : $y = 0, x = 0$ $y=0, x = 0$
Y intercept : $x = 0, y = 0$ $x = 0, y =0$

graph{-4x^2/(x^2-16) [-10, 10, -5, 5]}

How do you graph y=(-4x^2)/(x^2-16)y=−4x2x2−16y=(-4x^2)/(x^2-16) using asymptotes, intercepts, end behavior?