algebra – quadratics - Sketch, on a separate diagram, the curve with equation y = (x - 2)^2 - 6(x - 2)^2 + 9(x -2) showing the coordinates of the points at which the curve meets the x-axis.

Krishna (last edited 5 years ago) (Expert, Educator @Qalaxia)

Step 1: Find ordered pairs by plugging in values for x. and evaluate the function for y value.

EXAMPLE: x and y = x^3\ -6x^2\ +\ 9x

And so on..

Step 2: Plot the ordered pairs (points) on the graph. and draw a line passing through this points.

Step 3: Find the meeting point of the curve with the x axis

EXAMPLE: From the graph (0, 3) is the required point