HW
Example 45 Given that the function f(x) = x + 6x - 10. Find
1) Write the equation in standard form y = a(x - h) +k and draw a graph.
9 = x +6x - 10
y(kพ
1,6ะ6,C = 11
**
1>0
0 ะ
h= -b - - (6)
The graph is Upwore
= (-3
>X (h)
24
2()
k = 4at -65
*3
4()(1) - (6)
40
2
ะ 4- 36 ะ
2) Is the vertex of graph a minimum or maximum point?
The minimum point is (-3, 2)
3) What is the equation of symmetric axis?
4) What is the minimum value of y?
The minimum value is 2
X = - 3
Example 46 Given that the function f(x) = - x + 8x - 5. Find
h) + k and draw a graph.
1) Write the equation in standard form y = a(x -1
y = ax+bxte
y= - 448x - 5 Qะ -115ะ,c = -5
9(k)
11
hะ -6
-(-8)
x(h)
=
= -4
24
2(-1)
-2
k = 4ad -6
4(-1)(-5)-()
-44
ะ
+a
= 11
+(ฯ)
-4
-4(-5) - (64)
2) Is the vertex of graph a minimum or maximum point?
The maximum point is (-4 911)
3) What is the equation of symmetric axis?
4) What is the minimum value of y?
= -4
= 11
