Quadratic Functions

Algebraic Rewrite

100

Write the expression as simplified as possible in standard form.

3x(5x+2)+29-7x

15x^2-x+29

200

Expand the following expression

(x-9)(x+2)

x^2-7x-18

300

Factor the following expression as much as possible

24x^2-18x

6x(4x-3)

400

Expand the following expression

(2x+5)^2

4x^2+20x+25

500

Factor the following expression as much as possible

-26x^2-91x

-13x(2x+7)

Solving Quadratics

100

Solve for x.

x^2+8=57

x=+-7

200

Solve for x.

x^2+9x=0

x=0

and 

x=-9

300

Solve for x.

12x^2+8x=0

x=0

and 

x=(-2)/3

400

Solve for x.

3x^2+11=8

No Solutions....................for now.

500

Solve for x.

4x^2-12x=-8

x=1

and 

x=2

Describe Graph

100

Based on the parent function y=x², describe the following graph.

y=x^2-3

Shifted down 3

200

Based on the parent function y=x², describe the following graph.

y=-x^2

Flipped over the x-axis

300

Based on the parent function y=x², describe the following graph.

y=1/7x^2

Slower/wider

400

Based on the parent function y=x², describe the following graph.

y=-x^2+6

Flipped over x-axis and shifted up 6

500

Based on the parent function y=x², describe the following graph.

y=5x^2-6x

Faster/thinner and moved right

Income-ing Calculators

100

DLA is throwing a dance party. Research suggested that n tickets would be bought at price x such that

n=400-20x

Would increasing the cost of tickets always increase income? Explain.

No because the more you charge the less people will want to go.

200

DLA is throwing a dance party. Research suggested that n tickets would be bought at price x such that

n=400-20x

Write the income function for the dance party.

I=x(400-20x)

I=400x-20x^2

300

DLA is throwing a dance party. Research suggested that n tickets would be bought at price x such that

n=400-20x

What price gives the maximum income?

$10

400

DLA is throwing a dance party. Research suggested that n tickets would be bought at price x such that

n=400-20x

The dance party costs $500. What would they have to charge to breakeven?

$1.34 or $18.66

500

DLA is throwing a dance party. Research suggested that n tickets would be bought at price x such that

n=400-20x

When would the income be greater than $1500?

Between $5 and $15

Other Stuff

100

What day is McBarron's Tutorial?

Thursday

200

When is the Performance Task?

Thursday 3/13

300

What is the standard form of a quadratic?

ax^2+bx+c=0

400

What is the a coefficient for the following quadratic equation.

x^2+8x+7=0

a=1

500

What's the quadratic formula?

x=(-b+-sqrt(b^2-4ac))/(2a)