Q10 Q2.) Find the standard form of the equation of the parabola satisfying the given conditions.

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

To solve this problem you must apply the proccedure shown below:

1. You have that the standard form of the equation of the parabola must satisfy the following conditions given in the exercise above:

Focus: (-1,4) and Directrix: y=2

2. Therefore you have:

√(x0-(-1))²+(y0-4)²=|y0-2|
(x0+1)²+(y0-4)²=(y0-2)²

3. When you simplify the expression above and clear y0, you obtain:

y0=y

y=1/4(x²+2x+13)
y=(x²/4)+(x/2)+(13/4)

Therefore, the answer is: y=(x²/4)+(x/2)+(13/4)

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