More Related Content Similar to Funciones cuadráticas (20) Funciones cuadráticas2. 1. Y=x²-5x+6
DomY= R
RanY= 5/2=2.5 (2.5,-0.2)
(2.5)²-5(2.5)+6=-0.2
RanY=(-0.2,+∞)
Interceptos
• Con x= Y=x²-5x+6 0=x²-5x+6
(x-3)(x-2) (3,0) (2,0)
• Con y= Y=x²-5x+6 y=6 (0,6)
3. 2. Y=x²-3x+2
DomY= R
RanY= 3/2=1.5 (1.5,-0.2)
(1.5)²-3(1.5)+2= -0.2
RanY= (-0.2,+∞)
Interceptos
• Conx= Y=x²-3x+2 0=x²-3x+2
(x-2)(x-1) (2,0) (1,0)
• Cony= Y=x²-3x+2 y=2 (0,2)
4. 3. Y=x²+2x-8
DomY= R
RanY=-2/2=-1 (-1,-9)
(-1)²+2(-1)-8=-9
RanY==(-9,+∞)
Interceptos
• Conx= Y=x²+2x-8 0=x²+2x-8
(x+4)(x-2) (-4,0) (2,0)
• Cony= y=x²+2x-8 y=-8 (0,-8)
5. 4. Y=x²-4x+3
DomY= R
RanY=4/2=2 (2,-1)
(2)²-4(2)+3=-1
RanY=(-1,+∞)
Interceptos
• Conx= Y=x²-4x+3 0=x²-4x+3
(x-3)(x-1) (3,0)(1,0)
• Cony= Y=x²-4x+3 y=3 (0,3)
6. 5. Y=x²-7x-18
DomY=∞
RanY=7/2=3.5 (3.5,-30.2)
(3.5)²-7(3.5)-18=-30.2
RanY=(-30.2,+∞)
Interceptos
• Conx= Y=x²-7x-18 0=x²-7x-18
(x-9)(x+2) (9,0) (-2,0)
• Cony= y=x²-7x-18 y=-18 (0,-18)