Question

Giving 90 points please

Answer 1

Answer:

It's matched left by right side. Steps are not in order!

Step-by-step explanation:

1. Square both sides and simplify

2. Find the distance between the focus and the point on the parabola

3. Choose a point on the parabola

4. Write the equation of the parabola

5. Set the distance from focus to the point equal to the distance from directrix

to the point

6. Find the distance from the point on the parabola to the directrix

Answer 2

Step-by-step explanation:

Step 1:  Answer question 1

$(x + 1)^2 + (y + 8.75)^2 = (y + 9.25)^2$

        $x^2 + 2x + 1 = 2y + 9$

What we are doing in this problem, is that we are squaring both sides in order to help simplify.  Number 1 has the second option or B.

Step 2:  Answer question 2

$\sqrt{(x + 1)^2 + (y + 8.75)^2}$

What we are doing is that we are finding the distance from the point on the parabola to the directrix.  Number 2 has the last option or F.

Step 3:  Answer question 3

Use (x, y)

What we are doing is that we are finding a point on a parabola.  Number 3 has the fifth option or E.

Step 4:  Answer question 4

$y = \frac{1}{2}x^2 + x - 4$

What we are doing is that we are writing the equation of the parabola.  Number 4 has the third option or C.

Step 5:  Answer question 5

$\sqrt{(x + 1)^2 + (y + 8.75)^2} = \sqrt{(y + 9.25)^2}$

What we are doing is that we are setting the distance from focus to the point equal to the distance from directrix.  Number 5 has the first option or A.

Step 6:  Answer question 6

$\sqrt{(y + 9.25)^2}$

What we are doing is that we are finding the distance from the point on the parabola to the directrix .  Number 5 has the fourth option or D.