Question

construa o gráfico para cada função
a) y= -x2+4x-4 ( -1 a 4 )
b) y= x2+2x-3 ( -3 a 2 )
c) y= -2x2 ( -2 a 2 )
d) y= 2x2 (-1 a 2 )
e) y= x2-4x+3 ( -1 a 5 )

Answer 1

-x2+4x-4
-1. -(-1)2+4(-1)-4=2-4-4=-6
0 (0)2+4(0)-4=0+0-4=-4
1 (1)2+4(1)-4=2+4-2=4
2. (2)2+4(2)-4= 4+8-4=8
3. (3)2+4(3)-4=6+12-4=14
4. (4)2+4(4)-4=8+16-4=20

x2+2x-3
-3 (-3)2+2(-3)-3=-6-6-3=-15
-2 (-2)2+2(-2)-3=-4-4-3=-11
-1. (-1)2+2(-1)-3= -2-2-3=-7
0. (0)2+2(0)-3=0+0-3= -3
1. (1)2+2(1)-3=2+2-3=1
2. (2)2+2(2)-3=4+4-3=5
-2x2
-2 -2(-2)2=8
-1 -2(-1)2= 4
0 -2(0)2= 2
1. -2(1)2=-2
2. -2(2)2=-4

2x2
-1 2(-1)2=-2
0 2(0)2=0
1 2(1)2=2
2. 2(2)2=8

x2-4x+3

-1 (-1)2-4(-1)+3=-2-4+3=-3
0 (0)2-4(0)+3=0-0+3=3
1 (1)2-4(1)+3= 2-4+3=1
2 (2)2-4(2)+3=4-8+3=-1
3 (3)2-4(3)+3=6-12+3=-3
4 (4)2-4(4)+3=8-16+3=-5
5 (5)2-4(5)+3=10-20+3=-7