Unit 5: Quadratic Functions and Transformation - Lessons 6 - 8 Review
Gwen Bennett 
Unit 5: Quadratic Functions and Transformation - Lessons 6 - 8 Review
1. A roller coaster designer is considering the possibility of using quadratic functions to model portions of a new roller coaster ride. The functions below represent the height of the roller coaster car at any time from the beginning of the ride. The height is in feet and the time is in seconds.
g(x) = x^2 - 16x + 71
Write the equations in vertex form,
g(x) = (x + 8)^2 - 7
g(x) = (x - 8)
g(x) = (x - 8)^2 + 7
g(x) = x - 7)^2 + 8
2. A roller coaster designer is considering the possibility of using quadratic functions to model portions of a new roller coaster ride. The functions below represent the height of the roller coaster car at any time from the beginning of the ride. The height is in feet and the time is in seconds.
g(x) = x^2 - 16x + 71
Identify the vertex.
(8, 7)
(7, 8)
(-8, 7)
(8, -7)
3. A roller coaster designer is considering the possibility of using quadratic functions to model portions of a new roller coaster ride. The functions below represent the height of the roller coaster car at any time from the beginning of the ride. The height is in feet and the time is in seconds.
g(x) = x^2 - 16x + 71
Determine if the vertex is a maximum or a minimum.
maximum
minimum
4. A roller coaster designer is considering the possibility of using quadratic functions to model portions of a new roller coaster ride. The functions below represent the height of the roller coaster car at any time from the beginning of the ride. The height is in feet and the time is in seconds.
g(x) = x^2 - 16x + 71
Explain what the vertex means in context.
hint: when you envision a roller coaster, what would it's vertex mean?
5. Write the quadratic function f(x) = x^2 + 8x + 19
f(x) = (x + 2)^2 - 1
f(x) = (x + 4)^2 + 3
f(x) = -(x - 2)^2 + 6
f(x) = (x - 4)^2 + 3
6. Write two equivalent forms of f(x) = x^2 + 8x + 19.
* Identify if the function has a maximum or maximum.
* Identify the vertex
* Identify the x-intercepts (a.k.a. roots, zeros, solutions)
* Identify the y-intercept
Make sure you identify all 4 parts (max/min, vertex, x-int, y-int) to receive FULL credit.
