Answer
-Match (a) with B
-Match (b) with D
-Match (c) with A
-Match (d) with C
Work Step by Step
Match (a) with B because:
$y=2x^2 + 3x +9 $
The term that accompanies the $x^2$ is $2$, this number is greater than zero (positive number), this means the parabola opens up.
Match (b) with D because:
$y=-3x^2 + 4x - 2 $
The term that accompanies the $x^2$ is $-3$, this number is lesser than zero (negative number), this means the parabola opens down.
Match (c) with A because:
$x=2y^2 - 3y + 9 $
The term that accompanies the $y^2$ is $2$, this number is greater than zero (positive number), this means the parabola opens right.
Match (d) with C because:
$x=-3y^2 - 4y + 2 $
The term that accompanies the $y^2$ is $-3$, this number is lesser than zero (negative number), this means the parabola opens left.
