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
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