Unit 4B: Quadratic Functions
"What Goes Up, Must Come Down"
"What Goes Up, Must Come Down"
These are the transformations of the parent function y = x2 to the new function y = (x+4)2 - 6
What are translations/shifts left 4 and down 6?
The exponential function y = 50(0.6)x represents exponential decay by this percent.
What is 40?
The mean and median of the test scores below:
50, 70, 60, 50, 80, 80
What are 65 and 65?
The formulas for area of triangle and area of a parallelogram.
What are Triangle Area = (1/2)bh and Parallelogram Area = bh?
The ninth term of the sequence 1, -2, 4, ...
What is 256?
The y-intercepts of functions f and g with f(x) = x2 + 4x - 3 and g(x) = (x+4)2 - 3
What are (0, -3) and (0, 13)?
(-3 and 13 are allowed)
An exponential function with points (0, 4), (1, 6), and (2, 9) can be represented as this equation.
What is y = 4(3/2)x?
If a data set includes the points (2, 3), (3, 3), (4, 5), and (5, 5), this is the equation of the line of fit.
What is y = 0.8x + 1.2?
The slope of the line perpendicular to the line given by y = 2x - 5.
What is -1/2?
The asymptote of the exponential function y = 3(2)x - 6.
What is y = -6?
When h(t) = -16t2 + 64t + 80 is typed into desmos, the parabola is hard to see (click the wrench), but the point (5,0) is visible. This is the meaning of the point (5,0) if h represents the height of a projectile in meters t seconds after launch.
What is how many seconds (5) the projectile is in the air before it reaches the ground?
The interval of the exponential function y = 3(2)x - 6 where the function is positive.
What is x > -1 or (-1, infinity)?
If a class's test scores include 50, 70, 60, 50, 80, and 80, this is how high would a test score have to be to be considered an outlier.
What is 125?
The slope of the line parallel to the line given by the equation 4x - 12y = 6
What is 1/3?
The intercept form of the function h(t) = -5t2 + 10t + 15
What is h(t) = -5(t + 1)(t - 3)?
The vertex form of the function h(t) = -16t2 + 32t + 5
What is h(t) = -16(t-1)2 + 21?
The end behaviors of the exponential function y = 3(2)x - 6.
What is "as x approaches negative infinity, y approaches -6" and "as x approaches infinity, y approaches infinity"?
If a data set includes the points (2, 3), (3, 3), (4, 5), and (5, 5), this is the type of correlation between the two variables.
What is strong positive?
The distance between the points (2, -1) and (4, 2)?
What is √(13)?
The area of the triangle formed by (2, -1), (4, 2), and (0, 1)
What is 5 square units?