Show:
Transformations and Parent Functions
Properties of Quadratic Functions
Properties of Rational Functions
Properties of Square Root Functions
Properties of Exponential and Logarithmic Functions
100
The transformation(s) that occur(s) to create the function y = -(x-2)^2 from the parent function y = x^2.
What is a reflection across the x-axis and a translation 2 units right?
100
The domain and range of the graph y = 3(x - 2)^2 - 4, respectively.
What is all real numbers and [-4,infinity)?
100
The solution to 1/(x - 2) = 5.
What is 11/5 or 2.2?
100
The asymptotes of the radical parent function.
What is there are none?
100
The asymptote(s) found in the function y = log(x + 1)
What is x = -1?
200
The transformation(s) that occur(s) to create the function g(x) = f(x+1) from the function f(x).
What is a translation one unit left?
200
The zeros of the function y = (x - 2)(x + 3).
What is x = -3,2.
200
The domain and range of the function y = (x^3 - 9x)/(x^2 - x - 6).
What is x =/= -2, 3 and all real numbers?
200
The domain and range of the function y = 3sqrt(x + 2) - 1.
What is [-2,infinity) and [-1,infinity)?
200
The domain and range of the function y = 4^x.
What is all real numbers and y > 0?
300
The parent function of the equation y = 18/(x+8) + 2.
What is the rational parent function?
300
The vertex of the function y = 2(x - 1)^2 + 3.
What is (1,3)?
300
The vertical and horizontal asymptotes and removable discontinuities of the function y = (x + 4)/(2x^2 + 11x + 12). Hint: There is one of each.
What is vertical asymptote at x = -3/2, horizontal asymptote at y = 0 and removable discontinuity at x = -4?
300
The solution to the equation 2sqrt(x + 1) - 5 = 7.
What is x = 35?
300
The exponential equation the creates the following table: _x__|__y_ 0 | 4 1 | 8 2 | 16 3 | 32
What is y = 4(2)^x
400
The change that occurs to the exponential parent function if the x is replaced with x - 8.
What is a translation right eight units?
400
The solutions to the equation 9x^2 - 2 = 3x.
What is x = -2/3, 4/3?
400
The simplified version of the expression (x^2 - 5x + 6)/(3x^2 - 8x - 3).
What is (x - 2)/(3x+1)?
400
The inverse function of y = sqrt(x - 3) + 4.
What is y = (x - 4)^2 + 3?
400
The solution to the equation 3^x = 16.
What is x =2.524?
500
The change that occurs to the function y = f(x) if it is written y + 3 = f(x).
What is a translation down three units?
500
The equation of a function that has roots at -2 and 4 and a vertex of (1,6)
What is y = -(2/3)(x + 2)(x - 4) or y = -2/3x^2 + 4/3x + 16/3?
500
The equation representing the following scenario: Two homework completion machines are working on an algebra 2 homework assignment. If one machine can complete the assignment in 30 minutes and the other machine can finish in 40 minutes, how long will it take them to complete the homework together?
What is 1/30 + 1/40 = 1/x?
500
The solution to the inequality sqrt(x - 2) + 6 < 7
What is [2,3)?
500
The solution to the inequality log(x + 3) < 1
What is (-3,7)?