First, let

be a point in our parabola. Since we know that the focus of our parabola is the point (0,8), we are going to use the distance formula to find the distance between the two points:

Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix,

, is:

. Since our directrix is y=-8, the distance to our point will be:


Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:



Finally, we can expand and solve for

:




We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span>
Answer:
360 calories
Step-by-step explanation:
360
Answer:
+5 Range; The range is now 25
Step-by-step explanation:
The original range would be calculated by subtracting 20 from 40, giving you 20 as the range. However, with the point 15 added, there would be a new lowest number, making the new range be 40-15, which is 25.
Find any two points on the line.
<span>x=0⇒y=4<span>(0)</span>+7=7⇒</span> Point 1: <span>(0,7)</span>
<span>x=−1⇒y=4<span>(−1)</span>+7=3⇒</span> Point 2: <span>(−1,3)</span>
Step 2: Plot the two points from Step 1
Step 3: Draw a straight line through both points