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Coordinates and Graphs Videos 64 videos
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CAHSEE Math 4.1 Algebra and Functions 213 Views
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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.
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