Quadratic Functions and Relations

Complex Numbers

100

simplify √ ̅-81

9i

200

simplify i^40

1

300

Simplify (6-11i)—(-3+2i).

9-13i

400

Simplify (1-5i)(7+6i)

37-29i

500

find the sum of ix^2-(4+5i)x+7 and 3x^2+(2+6i)x-8i

(3+i)x^2+(-2+i)x-8i+7

Completing the Square

100

solve the equation by using the square root property x^2+12x+36=6

{-8.45,-3.55}

200

solve the equation by using the square root property x^2+18x+81 = 15

{-12.87,-5.13}

300

solve the equation by using the square root property 3x^2-6x-9=0

x=3 x=-1

400

solve the equation by completing the square x^2-10x+29=0

{5-2i, 5+2i}

500

find the value of c that makes the trinomial a perfect square. then write the trinomial as a perfect square x^2-3.2x+c

2.56; (x-1.6)^2

Transformation of Quadratic Graphs

100

write this function in vertex form y=-4x^2-24x-15

y=-4(x+3)^2+21

200

write this function in vertex form y=x^2+2x+7

y=(x+1)^2+6

300

write the function in vertex form y=-x^2-4x-1

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

400

Write the function in vertex form. y=x^2-6x+3

y=(x-3)^2-6

500

Graph the function. y=9x^2-8

photo

Quadratic Formula and Discriminant

100

solve the equation by using the quadratic formula x^2+12x-9=0

x=-6+3√ ̅5 x=-6-3√ ̅5

200

solve the equation by using the quadratic formula 10x^2-3=13x

(1.5, -0.2)

300

Find the value of the discriminant. 6x^2+5x-1=0

49

400

Find the discriminant of x^2+2x-4=-9

-16

500

Find the exact solutions by using the quadratic formula. 5x^2+8x=0

0,-8/5