ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Coordinates and Graphs Videos 64 videos
The video will show you how to plot points in 3D using the axes of the 3D coordinate system. Make sure you're wearing your special glasses for this...
When graphing inequalities, you graph the line, shade the corresponding side, and plug in the point. The end!
One formula to rule them all, one formula to find them. One formula to bring them all, and in the darkness bind them. Or something like that. I...
ACT Math 3.1 Coordinate Geometry 501 Views
Share It!
Description:
ACT Math: Coordinate Geometry Drill 3, Problem 1. What shape is shown by the equation in this video?
- Coordinate Geometry / Conic sections
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Spanish Subtitled
- Functions / Interpret expressions for functions in terms of the situation they model
- Geometry / Translate between the geometric description and equation for a conic section
- Properties, Measurement, and Dimension / Translate between the geometric description and the equation for a conic section
- Coordinate Geometry / Conics
Transcript
- 00:02
And here is your shmoop du jour...
- 00:04
What shape is shown by the equation X -4 equals the quantity y plus 2 squared?
- 00:10
And here are the potential answers...
- 00:14
The key to this problem is knowing the standard equations of all of the
- 00:17
context in the list
Full Transcript
- 00:19
First we can eliminate C, triangle from our options, because a
- 00:23
triangle cannot be shown by one equation
- 00:26
it's made up of three lines. Alright let's move back to A
- 00:29
Circle, the standard formula of a circle is
- 00:33
R-squared equals quantity X minus H squared plus quantity Y minus K
- 00:38
squared where R is the radius
- 00:40
HK is the center of the circle
- 00:43
The circle formula has X and Y radius to the second power
- 00:47
but our equation only raises one variable Y
- 00:50
to the second power. So we can cross A off our list.
- 00:53
Next up B. Ellipse, while the formula
- 00:57
of an ellipse is quantity X minus H square divided by
- 01:00
A squared plus quantity Y minus K squared
- 01:03
divided by B squared equals one where HK is the center
- 01:07
and A is half the length of the major axis
- 01:10
and B is half of the minor axis...well
- 01:14
does that look like our equation? No! Cross off B.
- 01:18
Next up, D, Parabola.
- 01:20
The equation of an up or down parabola
- 01:24
is Y minus K equals quanitiy
- 01:27
X minus H squared. Does that look like our equation? Well...
- 01:32
...Close but not quite, but wait what about those
- 01:36
sideways parabolas? Well the equation of a sideways parabola is
- 01:39
X minus H equals quantity Y minus K squared
- 01:44
and our equation is X minus 4 equals quanity Y plus 2 squared
- 01:47
Is that a match? Yeah! In our sideways parabola
- 01:51
H is 4 and K is negative 2. Got our answer.
- 01:55
D...Parabola
Related Videos
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?
Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...