Answer:
To find the roots of 4x² - 12x + 9 = 0 graphically, we need to plot the equation on a graph and find the x-intercepts, which are the roots.
Here are the steps to graph the equation:
Plot the x-axis and y-axis on the graph
Plot the points (x, 4x² - 12x + 9) for several values of x within the range of -1 to 4.
Connect the points to form a smooth curve.
Find the x-intercepts, where the curve intersects the x-axis. These points represent the roots of the equation.
After finding the x-intercepts, we can use the x-value of each intercept to substitute back into the original equation to find the corresponding y-value. This confirms that the x-intercepts are indeed the roots of the equation.
Note: The above steps can also be done using a graphing calculator or software.