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. 57. y 2 9 − x 2 1 = 1
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. 57. y 2 9 − x 2 1 = 1
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.
57.
y
2
9
−
x
2
1
=
1
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.
Find the equation for the parabola that has its focus at (-53/4, -7) and has directrix x = 5/4.
Answer the following questions for the parabola y = x² – 4x + 3.
Then, choose the correct graph.
Use decimals when needed.
This parabola opens up or down? ?
The parabola's axis of symmetry is
The parabola's vertex is at
The parabola's y-intercept is at
The parabola's x-intercept(s) is/are
(Use a comma to separate x-
intercepts if needed. If the parabola doesn't have any x-
intercept, type DNE, meaning “does not exist.")
Answer the following questions for the parabola y = x + 6x + 8. Then, choose the correct graph.
Use decimals when needed.
This parabola opens up or down? ?
The parabola's axis of symmetry is
The parabola's vertex is at
The parabola's y-intercept is at
The parabola's x-intercept(s) is/are
(Use a comma to separate.x-intercepts if needed. If the
parabola doesn't have any x-intercept, type DNE, meaning "does not exist.")
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