Quadratic Functions: Vertex Form(40PMath)

What value represents the vertical translation from the graph of the parent function f(x) = x2 to the graph of the function g(x) = (x + 5)2 + 3?

3

Which graph represents the function f(x) = (x - 5)2 + 3?

A. https://media.education2020.com/evresources/3109/3109-09/3109-09-04/3109-09-04-assessment/3109-09-04-06a.png

https://media.education2020.com/evresources/3109/3109-09/3109-09-04/3109-09-04-assessment/3109-09-04-14.png Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?

A. left 3, up 4

https://media.education2020.com/evresources/3109/3109-09/3109-09-04/3109-09-04-assessment/3109-09-04-15.png Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x - 2)2 + 3?

A. right 2, up 3

Sanjay begins to correctly graph the function f(x) = (x + 1)2 - 3. Based on the axis of symmetry and the vertex, which graph could be Sanjay's?

C. https://media.education2020.com/evresources/3109/3109-09/3109-09-04/3109-09-04-assessment/3109-09-04-03c.png

The graph shows the axis of symmetry for a quadratic function f(x). https://media.education2020.com/evresources/3109/3109-09/3109-09-04/3109-09-04-assessment/3109-09-04-02.png Which could be the function?

C. f(x) = (x - 4)2

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

C. g(x) = (x − 4)2 + 9

https://media.education2020.com/evresources/3109/3109-09/3109-09-04/3109-09-04-assessment/3109-09-04-21.png What is the equation of the translated function, g(x), if f(x) = x2?

D. g(x) = (x + 4)2 + 6

https://media.education2020.com/evresources/3109/3109-09/3109-09-04/3109-09-04-assessment/3109-09-04-20.png What is the equation of the translated function, g(x), if f(x) = x2?

D. g(x) = (x - 5)2 + 2

Over what interval is the graph of f(x) = -(x + 8)2 - 1 decreasing?

Wrong: D. https://media.education2020.com/evresources/dc9c5332beca73470abca80e9c427e85.png