Quadratic Functions

Vertex

100

f(x)=(x-5)^2+4

(5,4)

200

f(x)=(x-1)(x+3)

(-1,-4)

300

f(x)=-(x-5)(x+1)

(2,9)

400

f(x)=6-(x-3)^2

(3,6)

500

f(x)=x^2-4x+9

(2,5)

Standard Form

100

f(x)=(x-5)^2+4

f(x)=x^2-10x+29

200

f(x)=-(x-5)(x+1)

f(x)=-x^2+4x+5

300

f(x)=(x-1)(x+3)

f(x)=x^2+2x-3

400

f(x)=(2-x)^2+5

f(x)=x^2-4x+9

500

f(x)=6-(x-3)^2

f(x)=-x^2+6x-3

x-intercept(s)

100

f(x)=(x-5)^2+4

None

200

f(x)=(x-1)(x+3)

1 and -3

300

f(x)=6-(x-3)^2

0.6 and 5.4

400

f(x)=-(x-5)(x+1)

-1 and 5

500

f(x)=x^2-4x+9

None

y-intercept

100

f(x)=(x-5)^2+4

29

200

f(x)=(x-1)(x+3)

-3

300

f(x)=6-(x-3)^2

-3

400

f(x)=-(x-5)(x+1)

5

500

f(x)=(2-x)^2+5

9

Range

100

f(x)=(x-5)^2+4

y>=4

200

f(x)=-(x-5)(x+1)

y<=9

300

f(x)=(x-1)(x+3)

y>=-4

400

f(x)=(2-x)^2+5

y>=5

500

f(x)=6-(x-3)^2

y<=6