Graphing Quadratic Equation Practice

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Question 1
Graph the quadratic equation, y = x2 -2x -3. The table for the graph is given below:
table to fill

Step by Step Solution 

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Step 1
We can start by filling the table. For x=-2, we can calculate for the y-coordinate by substituting x with -2 into the equation:
calculating for y when x is -2

Hence, we can fill the table as shown:
when x is -2, y is 5
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Step 2
Similarly for x=1, we can calculate for the y-coordinate by substituting x with 1 into the equation:
calculating for y when x is 1

Hence, we can fill the table as shown:
when x is 1, y is -4
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Step 3
Again, for x=2, we can calculate for the y-coordinate by substituting x with 2 into the equation:
calculating for y when x is 2

Hence, we can fill the table as shown:
when x is 2, y is -3
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Step 4
Now, we have a table filled with the following coordinates:
table is filled with all the coordinates

Hence, we can plot the points as shown:
 
7 points plotted on the graph
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Step 5
By drawing a curve to join these points together, we get the graph of,
y = x2 -2x -3.
graph of y = x^2 -2x -3

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