A general formula for a parabola is y2 = 4px. What is the value of p in the equation y2 = –4x?
easy
compare
y²=4px vs
y²=-4x
y²=y²
4px=-4x
divide both sides by x
4p=-4
divide both sides by 4
p=-1
p=-1
Answer:
p= -1
Explanation:
We have been given parabola along positive side of x-axis with equation
\(y^2=4px\\\\and\\\\y^2=-4x\)
after equating the values of \(y^{2}\) we will get
4px =-4x
Divide each term by x on both left hand side and right hand side we will get
4p= -4
Now, divide each term by 4 on both left hand side and right hand side we will get the final result p=-1