SOLUTION: sketch a graph of all the (x,y)coordinates that satisfy the equation
y-x2=-1. What shape is the graph?
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Question 174319This question is from textbook algebra 1
: sketch a graph of all the (x,y)coordinates that satisfy the equation
y-x2=-1. What shape is the graph?
This question is from textbook algebra 1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.
Add to both sides.
Table of Contents:
Jump to Table
Jump to Graph
In order to graph , we need to plot some points.
Let's find y when
(Note: you can start with any x-value):
Start with the given equation.
Plug in .
Square to get .
Combine like terms.
So when , then .
So we have the point )
.
----------------------------------------------------
Let's find y when :
Start with the given equation.
Plug in .
Square to get .
Combine like terms.
So when , then .
So we have the point )
.
----------------------------------------------------
Let's find y when :
Start with the given equation.
Plug in .
Square to get .
Combine like terms.
So when , then .
So we have the point )
.
----------------------------------------------------
Let's find y when :
Start with the given equation.
Plug in .
Square to get .
Combine like terms.
So when , then .
So we have the point )
.
----------------------------------------------------
Let's find y when :
Start with the given equation.
Plug in .
Square to get .
Combine like terms.
So when , then .
So we have the point )
.
----------------------------------------------------
Let's find y when :
Start with the given equation.
Plug in .
Square to get .
Combine like terms.
So when , then .
So we have the point )
.
----------------------------------------------------
Let's find y when :
Start with the given equation.
Plug in .
Square to get .
Combine like terms.
So when , then .
So we have the point )
.
----------------------------------------------------
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Now let's make a table of the values we just found.
Table of Values:
| x | y |
| -3 | 8 |
| -2 | 3 |
| -1 | 0 |
| 0 | -1 |
| 1 | 0 |
| 2 | 3 |
| 3 | 8 |
Now let's plot the points:
Jump to Top of Page
Graph:
Now draw a curve through all of the points to graph :
Graph of (which is also the graph of )
So the shape of is a parabola.
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