Question

$x$	$y$
$-1$	$-5$
$0$	$-6$
$2$	$-2$
$3$	$3$
$5$	$19$

Find the equation of the curve satisfying above $(x,y)$ pairs.

• A. $y=-2x-6$
• B. $y=2x+6$
• C. $y=x^2-6$
• D. $y=x^2-4$
• E. $y=x^3-12$

Answer 1

The correct option is C $y=x^2-6$

$\left(A\right)$

$y=-2x-6$

when,$x=-1$

$y=-2x-1-6$

$=2-6$

$=-4$

$\left(B\right)$

$y=2x+6$

$x=-1$

$y=2x-1+6$

$=-2+6$

$=4$

$\left(C\right)$

$y=x^2-6$

$x=-1$

$y=(-1{)}^2-6$

$=1-6$

$=-5$

Option c is true.Because$f(-1)=-5$