Find an equation of a parabola with a vertex at the origin and directrix y = -1.5.

a) x = -1/6 y^2
b) x = 1/6 y ^2
c) y = -1/6 x^2
d) y = 1/6 x^2

The answer is A. If you graph it you can see the answer.

Step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116