# Common Core: High School - Geometry : Derive Parabola Equation: CCSS.Math.Content.HSG-GPE.A.2

## Example Questions

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### Example Question #11 : Derive Parabola Equation: Ccss.Math.Content.Hsg Gpe.A.2

Find the parabolic equation, where the focus and directrix are as follows.

Explanation:

The first step to solving this problem, it to use the equation of equal distances.

Let's square each side

Now we expand each binomial

Now we can substitute 2 for a 5 for b and -6 for y

Now we can simplify, and solve for

### Example Question #12 : Derive Parabola Equation: Ccss.Math.Content.Hsg Gpe.A.2

Find the parabolic equation, where the focus and directrix are as follows.

Explanation:

The first step to solving this problem, it to use the equation of equal distances.

Let's square each side

Now we expand each binomial

Now we can substitute -8 for a 9 for b and 12 for y

Now we can simplify, and solve for

### Example Question #13 : Derive Parabola Equation: Ccss.Math.Content.Hsg Gpe.A.2

Find the parabolic equation, where the focus and directrix are as follows.

Explanation:

The first step to solving this problem, it to use the equation of equal distances.

Let's square each side

Now we expand each binomial

Now we can substitute -6 for a 1 for b and -5 for y

Now we can simplify, and solve for

### Example Question #24 : Expressing Geometric Properties With Equations

Find the parabolic equation, where the focus and directrix are as follows.

Explanation:

The first step to solving this problem, it to use the equation of equal distances.

Let's square each side

Now we expand each binomial

Now we can substitute -6 for a 6 for b and -6 for y

Now we can simplify, and solve for