Who's your daddy?
What is the parent function that goes through these points?
{(2, 4), (5, 10), (6, 12), (10, 20)}
y = x
For the point (3, 2), what would the image be for a reflection across the y-axis?
(-3, 2)
Solve for x:
4^{x} = 64
x = 3
Simplify this expression, answer must be in standard form:
(x^2 +2x^4 + 1)+(x+3x^2+1)
2x^{4}+4x^{2}+x+2
Name the following property:
sqrt{ab} = sqrt{a} * sqrt{b}
Product of Roots Property
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
What are the images of these points after a vertical translation of down 2 and left 1.
{(-2, 2), (-1, 4), (1, 8)}
Solve for x:
4x^{4/3} + 9= 333
x = 27
Simplify this expression, answer must be in standard form:
(x-x^2 +1) - (2x^2 - x^{3}-5)
x^3 -3x^{2}+ x +6
Name the following property:
(2^{3})^{x+4} = 2^{3x+12}
Power of a Power Property
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
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
Solve for x:
2x^{2}-11x=6
x = 6, \frac{1}{2}
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
Name the following property:
\frac{x^{4}}{x^{2}} = x^{4-2}
Quotient of Powers Property
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|
g(x) = 2(x-3)^2 + 1
Where is the vertex?
(3, 1)
Solve this linear and quadratic system of equations:
y = x^{2} -6x + 3
y = 2x - 13
(4, -5)
Simplify this expression:
(18x^2+45x-8) \div (6x-1)
3x+8
Name the following property:
0 \times a = 0
Zero Property of Multiplication
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
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})
Solve for x:
x^{3} -2x^{2} -16x +32 =0
x = -4, 2, 4
Simplify this expression, answer must be rationalized:
\sqrt{\frac{36a^{2}b^{5}}{49b^{2}}
\frac{6}{7}ab\sqrt{b}
Name the following property:
a+b = b+a
Commutative Property of Addition