All Common Core: High School - Geometry Resources
Example Questions
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.
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.
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.
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 #14 : Derive Parabola Equation: Ccss.Math.Content.Hsg Gpe.A.2
Find the parabolic equation, where the focus and directrix are as follows.
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