### All Common Core: High School - Geometry Resources

## Example Questions

### 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.

**Possible Answers:**

**Correct answer:**

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

So our answer is then

### 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.

**Possible Answers:**

**Correct answer:**

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

So our answer is then

### 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.

**Possible Answers:**

**Correct answer:**

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

So our answer is then

### Example Question #2 : 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:**

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

So our answer is then

### 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.

**Possible Answers:**

**Correct answer:**

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

So our answer is then

### 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.

**Possible Answers:**

**Correct answer:**

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

So our answer is then

### 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.

**Possible Answers:**

**Correct answer:**

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

So our answer is then

### 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.

**Possible Answers:**

**Correct answer:**

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

So our answer is then

### 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.

**Possible Answers:**

**Correct answer:**

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

So our answer is then

### 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.

**Possible Answers:**

**Correct answer:**

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

So our answer is then