algebra – quadratics - On the axes below sketch the graphs of (i) y = x (4 – x), (ii) y = x^2(7 - x) showing clearly the coordinates of the points where the curves cross the coordinate axes.

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

If you take x = 1 then y = 1^3\ -\ 6\left(1\right)\ +\ 9\left(1\right) = 4

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

Step 4 :Repeat the same steps for every equation to draw curve and locate the intersection point of the curves on the graphs.