ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Algebra and Functions Videos 30 videos
Algebra and Functions: Drill Set 4, Problem 1. Which of the graphs fits the equation?
Algebra and Functions: Drill 4, problem 2. If the function for the area of a circle with respect to its diameter was graphed in the first quad...
Algebra and Functions: Drill 4, Problem 3. The sum of the quadratic parent function and the line given has which of the following as its graph?
CAHSEE Math 4.1 Algebra and Functions 213 Views
Share It!
Description:
Algebra and Functions: Drill Set 4, Problem 1. Which of the graphs fits the equation?
Transcript
- 00:03
And here's your shmoop du jour.
- 00:05
Which of the following could be the graph of the equation y equals negative two-thirds x-cubed?
- 00:11
Here are the potential answers...
- 00:13
Before we spoil the ending, hit pause and try to solve it yourself.
- 00:20
What is this question really asking?
Full Transcript
- 00:22
Well, it's really about visual patterning.
- 00:24
That is, the first thing it's asking is "which way does the line slope?"
- 00:29
In this case, the equation is clearly written in the y equals m x plus b standard form for a line...
- 00:35
Only, b is ... zero... and x is... x cubed.
- 00:38
The m is right here; it's negative 2 thirds...
- 00:42
...so.... a NEGATIVE slope means the line slopes downward like this -- and remember
- 00:47
a positive slope would run like this...
- 00:49
...and a slope of zero is just a dead man's pulse. Yeah. Sad.
- 00:54
A negative slope heads from Seattle to Miami,
- 01:02
so we can cross out potential answer A anyway
- 01:05
because it goes more from... ...San Diego to New York.
- 01:09
The next element is that this equation is in the form y equals x cubed.
- 01:15
That means it'll be this S-shape... so we can kick out equation C because it's a parabola's formula.
- 01:21
We need an S-shape that trends down and the only one that fits the map... is B.
- 01:30
We'll be sure to have this graph on display at the funeral. Bubbles would have loved this.
Related Videos
CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.
How do you solve a system of linear inequalities? Aw, man...and we thought solving a problem like Maria was tough...
Please note: If starting your own petting zoo, Shmoop recommends you stock it with animals that aren’t quite so likely to bite your hand off. Tha...
Solving systems of equations by elimination: Survivor-style. Sorry, y... the tribe as spoken.