Math 2 Jeopardy

Formulas

100

What is the formula for h

h=-(b)/2a

200

What is the vertex form formula

y=a(x-h)^2+k

300

What is the formula for k

k= 4ac-b^2/4a

400

What is the standard form formula 

y=ax^2+bx+c

Finding Roots

100

x^2+2x+1=0

x=-1

200

x^2+6x-10=30

x=4 x=-10 

300

8x^2=15-14x

x=3/4 x=-5/2

400

4x^2+2x=12

x=-2 x=3/2

500

6x^2-48x-54=0

x=9 x=-1 

Factoring

100

3x+36

3(x+12)

200

4x^2+16x

4x(x+4)

300

x^2-14x-40

(x-10)(x-4)

400

-8x^2-15x+2

(-8x+1)(x+2)

500

4x^2+17x-15 

(4x-3)(x+5)

Describing Transformation

100

y=x^2 

y=(x-5)^2

Shift to the right 5

200

y=x^2

y=(x+8)^2-13

Shift to the left 8 and go down 13

300

y=x^2

y=1/2(x-8)^2+13

Vertically compress by a factor of 1/2, shift 8 to the right, and go up 13 units

400

y=x^2

y=3(5x+17)^2-9

Verticle stretch by a factor of 3, compress the graph by a factor of 5, shift 17 to the left, shift down 9

500

y=x^2

y=1/3-(7x+7)^2-9

Compress the graph vertically by a factor of 1/3, compress the graph horizontally by a factor of 7, reflect over the y-axis, shift 7 to the left, and go down 9

Vocabulary

100

What is the domain and range

Domain: x-values

Range: y-values

200

What is the radicand?

The number under the radical symbol

300

What does it mean to rationalize?

To eliminate a radical or an imaginary number from the denominator of an algebraic expression

400

What is an extraneous solution?

An apparent solution that must be rejected because it does not satisfy the original equation.

500

What is Direct Variation?

Relationship of variables x and y whereas one quantity increases/decreases the other quantity increases/decreases/