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