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

Study concepts, example questions & explanations for Common Core: High School - Geometry

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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.

Possible Answers:

Correct answer:

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 

So our answer is then

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.

Possible Answers:

Correct answer:

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 

So our answer is then

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.

 

Possible Answers:

Correct answer:

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 

So our answer is then

Example Question #24 : Expressing Geometric Properties With Equations

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

Possible Answers:

 

Correct answer:

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 

So our answer is then

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept
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