algebra – simultaneous equations - The curve C has equation y = x^2 -4 and the straight line l has equation y + 3x = 0. (a) In the space below, sketch C and l on the same axes.

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

Step 1: Work out where the graph crosses the axes.

NOTE: The graph will cross the x-axis when y = 0 and the y-axis when x = 0. Substitute in x = 0 and then y = 0 to determine the crossing points, and mark these on your sketch.

What happens as x becomes very large? Think about whether y will become very large, very small, positive or negative. What happens as x becomes very small (large and negative)?

EXAMPLE;

Step 2: Plot this points on the xy-plane and add all the points then you will get the required curve.

Step 3: Follow the same steps(above steps 1 and 2) for the line and locate the points at the same xy-plane.