Year 11 – Math Studies 1

Chapter 13Pages 376 - 378

The graph will form a parabola.Each graph will have either a maximum or minimum point.There is a line of symmetry which will divide the graph into two halves.

x = 3

x = 2

When a quadratic function is in standard form

The equation of the line of symmetry is

y = ax2 + bx + c,

2ba

x

For example…

Find the line of symmetry of y = 3x2 – 18x + 7

182 3

x 186

3

Thus, the line of symmetry is x = 3.

Using the formula…

A company’s weekly profit, in riyals, is modeled by the function

Where u is the number of units sold each week.Finda.The maximum weekly profitb.The loss for a week’s holiday period, where no units are soldc.The number of units sold each week at break-even point for the company

300046032.0)( 2 uuuP