Page 299 - MATHEMATICS COURSE FOR SECONDARY SCHOOLS BOOK 2

(a)
(b) (c)
(a)
Draw the graph of the quadratic equation y = 5x2 - 13 x – 6 for the domain
EXAMPLE 3
14. ALGEBRA: GRAPHING QUADRATIC EQUATIONS
-3 < x ≤ 6 on graph paper.
(a) Draw the graph of the quadratic equation y = 5􏰀􏰁 - 13 x – 6 for the domain Confirm that the y – intercept is -6.
- 13 x – 6 for the
-3<x 􏰂6ongraphpaper.
Solve the quadratic 5x2 - 13 x – 6 = 0 (b) Confirm that the y – intercept is -6.
using the graph.
(c) Solve the quadratic 5􏰀􏰁 - 13 x – 6 = 0 using the graph. First construct a table of values for the
quadratic equation y =5x2 - 13 x – 6 for 􏰁 (a) First construct a table of values for the quadratic equation y =5􏰀
the given domain.
given domain.
x -3 -2 -1 0 􏰀􏰁 9 4 1 0 5􏰀􏰁 45 20 5 0 -3x 39 26 13 0
-6 -6 -6 -6 -6 y 78 40 12 -6
1 2 3 4 5 6
1 4 9 16 25 36 5 20 45 80 125 180 -13 -26 -39 -52 -65 -78 -6 -6 -6 -6 -6 -6 -14 -12 0 22 54 96
The set of ordered pairs { (-3, 78), (-2, 40), (-1, 12), (0, -6) , (1, -14) , (2, -12), (3, 0) , (4, 22) (5,
The set of ordered pairs { (-3, 78), (-2, 40), (-1, 12), (0, -6) , (1, -14) , (2, -12), (3, 0) , 54), (64,,9262))} i(s5t,h5e4n),u(s6e,d9t6o)p}loist pthoeintus soendatoCaprl-ot points on a Cartesian plane; graph paper tesianwpitlhanaex;egsrapnhd psacpaleersw. Aithsamxoesotahndcusrcvaeleiss. Athen drawn connecting the points that were smooptlhotctuedrvuesisntghtehnedsreatwonf ocrodnenredctipnagirtsh. e points
that were plotted using the set of ordered pairs.
293