Into Alg 2

Who's your daddy?

100

What is the parent function that goes through these points?

{(2, 4), (5, 10), (6, 12), (10, 20)}

Linear Function

y = x

200

What is the parent function of the graph that goes through these points?

(1,-32), (2,-1), (3,0), (4,1), (5,32)

y = x^5

300

What is the parent function that goes through these points?

{(-2, 6), (-1, 0), (0, -2), (1, 0), (2, 6)}

Quadratic Function

y = x^2

400

What is the parent function that goes through these points?

(-2,5), (-1,3), (0,1), (1,3), (2,5)

Absolute Value Function

y = |x|

500

What is the parent function that goes through these points?

{(-2, -63), (-1, -26), (0,-7), (1, 0), (2, 1)}

Cubic Function

y = x^3

Are we there yet?

100

For the point (3, 2), what would the image be for a reflection across the y-axis?

(-3, 2)

200

For a linear function that goes through these points: {(-1, 4), (0, 6), (2, 10)}

What are the images of these points after a vertical translation of down 2 and left 1.

{(-2, 2), (-1, 4), (1, 8)}

300

If g(x) = -f(x-2)+3, what are the transformations to get from f(x) to g(x)?

Reflection over the x-axis

Translation right 2 units

Translation up 3 units

400

 g(x) = 2(x-3)^2 + 1 

Where is the vertex?

(3, 1)

500

Where is the vertex of this parabola? Answer must be in fraction form.

y = 2x^{2}+x+2 

(\frac{-1}{4}, 2\frac{1}{8})

Until I Find You

100

Solve for x: 

4^{x} = 64

x = 3

200

Solve for x:

4x^{4/3} + 9= 333

x = 27

300

Solve for x:

2x^{2}-11x=6

x = 6, \frac{1}{2}

400

Solve this linear and quadratic system of equations:

y = x^{2} -6x + 3 

y = 2x - 13

(4, -5)

500

Solve for x:

x^{3} -2x^{2} -16x +32 =0

x = -4, 2, 4

Can't Get Simpler than This

100

Simplify this expression, answer must be in standard form:

(x^2 +2x^4 + 1)+(x+3x^2+1)

2x^{4}+4x^{2}+x+2

200

Simplify this expression, answer must be in standard form:

(x-x^2 +1) - (2x^2 - x^{3}-5)

x^3 -3x^{2}+ x +6

300

Simplify this expression, answer should be quotient and remainder:

(-8x^{3}+40x^{2} - 37x + 30) \div (x-4)

Quotient: 

-8x^{2} +8x-5

Remainder: 10

400

Simplify this expression:

(18x^2+45x-8) \div (6x-1)

3x+8

500

Simplify this expression, answer must be rationalized:

\sqrt{\frac{36a^{2}b^{5}}{49b^{2}}

\frac{6}{7}ab\sqrt{b}

Life, Liberty and Property

100

Name the following property:

sqrt{ab} = sqrt{a} * sqrt{b}

Product of Roots Property

200

Name the following property:

(2^{3})^{x+4} = 2^{3x+12}

Power of a Power Property

300

Name the following property:

\frac{x^{4}}{x^{2}} = x^{4-2}

Quotient of Powers Property

400

Name the following property:

0 \times a = 0

Zero Property of Multiplication

500

Name the following property:

a+b = b+a

Commutative Property of Addition