For the following exercises, express the equation for the hyperbola as two functions , withy as a function of x. Express as simply as possible. Use a graphing calculator to sketch the graph of the two functions on the same axes. 59. − 4 x 2 − 16 x + y 2 − 2 y − 19 = 0
For the following exercises, express the equation for the hyperbola as two functions , withy as a function of x. Express as simply as possible. Use a graphing calculator to sketch the graph of the two functions on the same axes. 59. − 4 x 2 − 16 x + y 2 − 2 y − 19 = 0
For the following exercises, express the equation for the hyperbola as two functions, withy as a function of x. Express as simply as possible. Use a graphing calculator to sketch the graph of the two functions on the same axes.
59.
−
4
x
2
−
16
x
+
y
2
−
2
y
−
19
=
0
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
I am on a planet whose acceleration due to gravity is g=6 ft/s2. I'm standing on a cliff edge with altitude of a=80 ft above the ground and i throw an object straight up at a velocity of v=20 ft/s. The equation y=-1/2gt2+vt+a gives the height y of the object t seconds after i thow it. The graph of height versus time will be a parabola.
-Find the exact vertex of the parabola. (Give both coordinates as rational number.) What does the vertex represent in the context of this problem?
-Find the exact time in seconds when the object will land on the ground, then approximate it to four decimal places.
solve for the focus of the parabola 8y = -x2 + 4x + 36
I am on a planet whose acceleration due to gravity is g= 6 ft/s?. I'm standing on a cliff edge with altitude of a = 80
%3!
ft above the ground and I throw an object straight up at a velocity of v = 20 ft/s. The equation y
5gt2 + vt +a
gives the height y of the object t seconds after I throw it. The graph of height versus time will be a parabola.
-Find the exact vertex of the parabola. (Give both coordinates as rational numbers.) What does the vertex repre-
sent in the context of this problem?
-Find the exact time in seconds when the object will land on the ground, then approximate it to four decimal places.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY