Answer:
(x - 8)² = 20(y + 6)
Step-by-step explanation:
The focus of the parabola is (8,-1) and the equation of the directrix is y = - 11.
So, the parabola opens up and the axis of symmetry is x = 8 line.
Now, the axis of symmetry and the directrix meet at the point (8,-11).
So, the vertex of the parabola will be the midpoint of (8,-1) and (8,-11) i.e. (8,-6).
Now, half of the distance between the focus and the directrix is = a = 
units.
So, the equation of the parabola in vertex form will be
(x - 8)² = 4 × 5 × (y + 6)
⇒ (x - 8)² = 20(y + 6) (Answer)
Hey there!
To solve the first problem, I've found it easiest to solve the equation for, say, values –2 through +2 and create a table of values for you to begin graphing this function. You may need to do more depending on the equation itself.
Some points are: (–2, 0.75), (–1, 1.5), (0, 3), (1, 6) and (2, 12). You can check which graph matches up with these points the closest to get your answer of D.
To solve the second problem, you'll need to use the distance equation.
x1 = –4, y1 = 3
x2 = –1, y2 = 1
___________________
√ (x2–x1)^2 + (y2–y1)^2
_________________
√ (–1–(–4)^2 + (1–3)^2
_______________
√ (–1+4)^2 + (–2)^2
____________
√ (3)^2 + (–2)^2
_____
√ 9 + 4
___
√ 13, making your answer D
For your third question, I always just counted the number of units the point was from the line of reflection. You'll count twice diagonally towards the line from point C for this one, staying on the "crosshairs" of the graph. All you need to do then is count two diagonal units along the same line, then you'll get your answer of (2, 6), or D.
For your final question, A and B are immediately out, since they won't be parallel to the 4x equation. You'll need to solve both of your remaining equations for y with 2 plugged in for x; whichever one equals 7 will be your answer. In this case, it will be D.
Hope this helped you out! :-)
-572.85 i just took the test and got it right
point slope form is y-y1=m(x-x1)
from (6,1) y1 = 1 and x1 = 6
slope is given as -3
so you should have y=1 =-3(x-6)
Answer:
1
Step-by-step explanation:
If she has a pound of popcorn and the bag holds one pound she will only need to use one bag
