In the following exercises, (a) graph the quadratic functions on the same rectangular coordinate system and (b) describe what effect adding a constant k , to the function has on the basic parabola. 293. f ( x ) = x 2 , g ( x ) = x 2 + 4 , and h ( x ) = x 2 − 4 .
In the following exercises, (a) graph the quadratic functions on the same rectangular coordinate system and (b) describe what effect adding a constant k , to the function has on the basic parabola. 293. f ( x ) = x 2 , g ( x ) = x 2 + 4 , and h ( x ) = x 2 − 4 .
In the following exercises, (a) graph the quadratic functions on the same rectangular coordinate system and (b) describe what effect adding a constant k, to the function has on the basic parabola.
293.
f
(
x
)
=
x
2
,
g
(
x
)
=
x
2
+
4
,
and
h
(
x
)
=
x
2
−
4
.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Find the sample space.
Sunscreen
SPF
10, 15, 30, 45, 50
Type
Lotion, Spray, Gel
For each graph below, state whether it represents a function.
Graph 1
24y
Graph 2
Graph 3
4
2
-8
-6 -4
-2
-2
2 4 6
Function?
○ Yes
○ No
○ Yes
○ No
Graph 4
Graph 5
8
Function?
Yes
No
Yes
No
-2.
○ Yes
○ No
Graph 6
4
+
2
4
-8 -6 -4 -2
2 4 6
8
Yes
-4++
No
Practice
k Help
ises
A
96
Anewer The probability that you get a sum of at least 10 is
Determine the number of ways that the specified event can occur when
two number cubes are rolled.
1. Getting a sum of 9 or 10
3. Getting a sum less than 5
2. Getting a sum of 6 or 7
4. Getting a sum that is odd
Tell whether you would use the addition principle or the multiplication
principle to determine the total number of possible outcomes for the
situation described.
5. Rolling three number cubes
6. Getting a sum of 10 or 12 after rolling three number cubes
A set of playing cards contains four groups of cards designated by color
(black, red, yellow, and green) with cards numbered from 1 to 14 in each
group. Determine the number of ways that the specified event can occur
when a card is drawn from the set.
7. Drawing a 13 or 14
9. Drawing a number less than 4
8. Drawing a yellow or green card
10. Drawing a black, red, or green car
The spinner is divided into equal parts.
Find the specified…
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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