math 2 (l1-1) a.ced.4, a.sse.1,2,3, f.if.8a assessment ... · math 2 (l1-1) a.ced.4, a.sse.1,2,3,...
TRANSCRIPT
Math 2 (L1-1) A.CED.4, A.SSE.1,2,3, F.IF.8a Assessment Title: Graph it, Form it, Make it
Unit 3: Quadratic Functions Working with Equations Learning Targets:
I can identify vertex form
I can switch between standard form and vertex form regularly.
Directions: Starting with the parent function 𝒇(𝒙) = 𝒙𝟐, graph the given transformation in the
following problems and give the vertex after graphing it.
1. 𝑓(𝑥) = (𝑥 − 1)2 + 2
Vertex:_________
2.
𝑓(𝑥) = 3(𝑥 − 2)2 − 5
Vertex:_________
3. What do you notice about where the vertex is and the functions given? ____________________
_____________________________________________________________________________________
4. Simplify the two equations you graphed by multiplying out the square and combining like terms:
𝑓(𝑥) = (𝑥 − 1)2 + 2
𝑓(𝑥) = 3(𝑥 − 2)2 − 5
Math 2 (L1-1) A.CED.4, A.SSE.1,2,3, F.IF.8a Assessment Title: Graph it, Form it, Make it
Unit 3: Quadratic Functions Working with Equations
5. What do you notice about the coefficient of the two functions after you multiply them out
how does it relate to the graph?
_____________________________________________________________________________________
_____________________________________________________________________________________
________________________________________________________________
6. What do you notice about the constant of the equation and the y-intercept of the graph?
Part II: In this part you are going to be going from Vertex Form to Standard Form of an equation.
7. 𝑓(𝑥) = (𝑥 − 3)2 + 2 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
8. 𝑓(𝑥) = 2(𝑥 + 5)2 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
9. 𝑓(𝑥) = (𝑥 + 4)2 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
10. 𝑓(𝑥) = 3(𝑥 − 2)2 − 6 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
Math 2 (L1-1) A.CED.4, A.SSE.1,2,3, F.IF.8a Assessment Title: Graph it, Form it, Make it
Unit 3: Quadratic Functions Working with Equations 11. 𝑓(𝑥) = (𝑥 + 3)2 + 4
Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
12. 𝑓(𝑥) =
1
2(𝑥 + 2)2 − 3
Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
13. 𝑓(𝑥) = (𝑥 + 1)2 + 1 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
14. 𝑓(𝑥) = (𝑥 + 4)2 − 3 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
15. 𝑓(𝑥) = −(𝑥 + 4)2 + 1 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
16. 𝑓(𝑥) = (𝑥 − 1)2 + 4 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
Math 2 (L1-1) A.CED.4, A.SSE.1,2,3, F.IF.8a Assessment Title: Graph it, Form it, Make it
Unit 3: Quadratic Functions Working with Equations
Answer Key
Directions: Starting with the parent function 𝒇(𝒙) = 𝒙𝟐, graph the given transformation in the
following problems and give the vertex after graphing it.
3. 𝑓(𝑥) = (𝑥 − 1)2 + 2
Vertex:_________
4.
𝑓(𝑥) = 3(𝑥 − 2)2 − 5
Vertex:_________
3. What do you notice about where the vertex is and the functions given? ____________________
_____________________________________________________________________________________
4. Simplify the two equations you graphed by multiplying out the square and combining like terms:
𝑓(𝑥) = (𝑥 − 1)2 + 2
𝑓(𝑥) = 3(𝑥 − 2)2 − 5
Math 2 (L1-1) A.CED.4, A.SSE.1,2,3, F.IF.8a Assessment Title: Graph it, Form it, Make it
Unit 3: Quadratic Functions Working with Equations 5. What do you notice about the coefficient of the two functions after you multiply them out
how does it relate to the graph?
_____________________________________________________________________________________
_____________________________________________________________________________________
________________________________________________________________
6. What do you notice about the constant of the equation and the y-intercept of the graph?
Part II: In this part you are going to be going from Vertex Form to Standard Form of an equation. Then,
identify the stretch or compression and y-intercept.
7. 𝑓(𝑥) = (𝑥 − 3)2 + 2 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
8. 𝑓(𝑥) = 2(𝑥 + 5)2 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
17. 𝑓(𝑥) = (𝑥 + 4)2 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
18. 𝑓(𝑥) = 3(𝑥 − 2)2 − 6 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
Math 2 (L1-1) A.CED.4, A.SSE.1,2,3, F.IF.8a Assessment Title: Graph it, Form it, Make it
Unit 3: Quadratic Functions Working with Equations 19. 𝑓(𝑥) = (𝑥 + 3)2 + 4
Stretch or Compression? ________ Factor? (If applicable) _________
y-intercept: ( ______ , ___13___)
20. 𝑓(𝑥) =1
2(𝑥 + 2)2 − 3
Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
21. 𝑓(𝑥) = (𝑥 + 1)2 + 1 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
22. 𝑓(𝑥) = (𝑥 + 4)2 − 3 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
23. 𝑓(𝑥) = −(𝑥 + 4)2 + 1 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)
24. 𝑓(𝑥) = (𝑥 − 1)2 + 4 Stretch or Compression? ________ Factor? (If applicable) _________ y-intercept: ( ______ , _______)