EJERCICIOS FUNCION CUADRATICA

1. y=x^2+2

D=b^2-4ac = 0^2-4(1)(2)
=0-8
=-8

Vx= -b/2a = -0/2 = o


2. y=(x-2)^2 = x^2-4x+4

D=b^2-4ac = 4^2-4(1)(4)
=16-16
=0

-b+- raiz de b^2-4ac/2a = -(-4) +- raiz de 0/2 = 4/2 = 2

Vx= -b/2a= -(-4)/2 = 4/2= 2

Vy= 2^2-4(2)+4 = 4-8+4 = 0


3. y=2x^2

D= b^2-4ac = 0^2-4(2)(0)
=0^2-0 =0

-b+- raiz de b^2-4ac/2a = -0+ raiz de 0/4 = -0/4 = 0

Vx= -b/2a = -0/4 = 0

Vy= 2(0)^2 = 0


4. y= x^2+2

D=b^2-4ac = 0^2-4(-1)(2)
=0^2-(-8)=8

-b+- raiz de b^2-4ac/2a = -0+- raiz de 8/2 = -0+2,82/-2 = -1,41
=-0-2,82/-2 = 1,41

Vx= -b/2a= -0/-2 = 0

5. y=-(x+2) = -x^2-4x-4

D=b^2-4ac = -4^2-4(-1)(-4) = 16-16 = 0

-b+- raiz de b^2-4ac/2a = -(-4)+- raiz de 0/-2 = 4/-2 = -2

Vx= -b/2a = -(-4)/-2 = 4/-2 =-2

Vy= -(-2)^2-4(-2)-4 = -4-(-8)-4=0

6. y=x^2+4

D= b^2-4ac = 0^2-4(1)(4)
=0^2-16
= -16

Vx= -b/2a = -0/2 = 0

7. y=x^2-1

D= b^2-4ac = 0^2-4(1)(-1)
=0-(-4)
= 4

-b+- raiz de b^2-4ac/2a = -0+- raiz de 4/2 = -0+2/2 = 2/2 = 1
= -0-2/-2= -2/2 = -1

Vx= -b/2a = -0/2 = 0