Ch. 4 Quadratic Functions & Relations

Ch. 4-1

100

What is the equation for the axis of symmetry?

x=(-b)/(2a)

200

Determine whether the function below has a minimum or maximum.

f(x)=-x^2-7x+1

maximum

300

Determine whether the function below has a minimum or maximum.

f(x)=5x^2

minimum

400

Find the minimum or maximum for the function below.

f(x)=x^2+12x+27

minimum=-9

500

Find the minimum or maximum for the function below.

f(x)=-4x^2+10x-6

maximum=0.25 or 

1/4

Ch. 4-2

100

Solve the equation below by graphing.

x^2-3x-10=0

x=-2

x=5

200

Solve the equation below by graphing.

-x^2-8x-16=0

x=-4

300

Solve the equation below by graphing.

x^2+2x+3=0

no real solution

400

Solve the equation below by graphing.

x^2+4x=0

x=-4

x=0

500

Solve the equation below by graphing.

-1/2x^2+1/2x+6=0

x=-3

x=4

Ch.4-3

100

Solve the equation below by factoring.

x^2-3x-28=0

x=-4

x=7

200

Solve the equation below by factoring.

5x^2=15x

x=0

x=3

300

Solve the equation below by factoring.

x^2-36=0

x=-6

x=6

400

Solve the equation below by factoring.

12x^2-108x=0

x=0

x=9

500

Solve the equation below by factoring.

x^2=121

x=-11

x=11

Ch. 4-4

100

Simplify

sqrt(-32)

4isqrt2

200

Simplify

i^63

-i

300

Simplify

(-3+i)+(-4-i)

-7

400

Simplify

(3+5i)(5-3i)

30+16i

500

Solve the equation.

2x^2+50=0

+-5i

Ch. 4-5

100

Solve

x^2-4x+3=0

{1,3}

200

Solve

2x^2+x-3=0

{-3/2,1}

300

Solve

x^2-4x+9=0

{2-isqrt5,2+isqrt5}

400

Solve

x^2+2x-12=0

{-4.61,2.61}

500

Solve

x^2-1/5x-11/5=0

{-1.39,1.59}

Ch. 4-6

100

Find the value of the discriminant.

3x^2+8x+2=0

40

200

Describe the number and type of roots.

2x^2-6x+9=0

2 complex roots

300

Write the function in vertex form.

y=x^2-12x+36

y=(x-6)^2

400

Write the function in vertex form.

y=-x^2-4x-1

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

500

Write the function in vertex form.

y=2x^2-4x-3

y=2(x-1)^2-5