Step-by-step explanation:
Step 1: Answer question 1
[tex](x + 1)^2 + (y + 8.75)^2 = (y + 9.25)^2[/tex]
[tex]x^2 + 2x + 1 = 2y + 9[/tex]
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
[tex]\sqrt{(x + 1)^2 + (y + 8.75)^2}[/tex]
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
[tex]y = \frac{1}{2}x^2 + x - 4[/tex]
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
[tex]\sqrt{(x + 1)^2 + (y + 8.75)^2} = \sqrt{(y + 9.25)^2}[/tex]
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
[tex]\sqrt{(y + 9.25)^2}[/tex]
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.
