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

Example Questions

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Example Question #1 : 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 1 for a 10 for b and 7 for y

Now we can simplify, and solve for

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

Find the parabolic equation, where the focus and the 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 1 for a 10 for b and 7 for y

Now we can simplify, and solve for

Example Question #3 : 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 1 for a 10 for b and 7 for y

Now we can simplify, and solve for

Example Question #4 : 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 -10 for a 4 for b and -11 for y

Now we can simplify, and solve for

Example Question #5 : 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 -9 for b and -5 for y

Now we can simplify, and solve for

Example Question #6 : 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 1 for a -6 for b and -19 for y

Now we can simplify, and solve for

Example Question #7 : 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 -10 for a 6 for b and 15 for y

Now we can simplify, and solve for

Example Question #8 : 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 7 for a 5 for b and -4 for y

Now we can simplify, and solve for

Example Question #9 : 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 8 for b and 10 for y

Now we can simplify, and solve for

Example Question #10 : 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 -10 for a -3 for b and -4 for y

Now we can simplify, and solve for