Maths-
General
Easy

Question

Graph the following functions by filling out the X/Y chart using the given inputs
straight Y equals square root of X plus 9 end root
X -9 -8 -5 0 7
Y          

Hint:

First, we complete the table by calculating the values of y corresponding to each value of x from the given equation. To make the graph of the function, we draw perpendicular lines, x axis and y axis; then we plot the ordered points in the xy plane and join the points by a smooth curve to get the required graph.

The correct answer is: 0,1,2,3,4


    Step by step solution:
    The given equation is
    straight Y equals square root of X plus 9 end root
    Putting x = -9 in the above equation, we get the value of y as
    y equals square root of negative 9 plus 9 end root equals 0
    Similarly, putting x = -8, we get
    y equals square root of negative 8 plus 9 end root equals square root of 1 equals 1
    Putting x = -5 we have
    y equals square root of negative 5 plus 9 end root equals square root of 4 equals 2
    Putting x = 0 we have
    y equals square root of 0 plus 9 end root equals square root of 9 equals 3
    Finally, putting x = 7, we have
    y equals square root of 7 plus 9 end root equals square root of 16 equals 4
    Completing the table, we have
    x
    -9
    -8
    -5
    0
    7
    y
    0
    1
    2
    3
    4
    We plot these points on the xy plane

    After plotting the points, we join them with a smooth curve to get the graph of the equation.

    We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.

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