Name: Tay Jones Level Two Date: Algebra 3 Unit 3: Functions and Equations Practice Assessment Class: #7-OneNote 1. The function f(x) = x² is transformed in the following functions. List the vertex for each function, circle whether the function opens up or down, and why. All three parts must be correct to receive Level 2 points. You can receive points for a, b, and c. a) g(x) = -2(x+5)² Vertex: Opens Up Opens Down Why? ais negative -2 Vertex: b) g(x) = (x + 2)² - 3 c) g(x) = -4(x + 2)² + 2 Opens Up Opens Down Vertex: Opens Up Opens Down Why? 4 Ca is negative) Why? his positive 2. The graph of the function f(x) is shown below. Find the domain, range, and end behavior. Then list the values of x for which the function values are increasing and decreasing. f(x) Domain: End Behavior: As x → ∞o, f(x) -> -6 As x, f(x) -> Range: Where is it Increasing? (002] Where is it Decreasing? (1,00) 3. The graphs of the functions f(x) and g(x) are shown below. Determine if each function has a minimum or maximum vertex and list the ordered pair where the vertex occurs. Then locate the Axis of Symmetry and tell how many solutions or x-intercepts each function has. (0,2) -2 0 2 f(x) Vertex: (Minimum or Vertex: Axis of Symmetry: Number of Solutions: Maximum (4.-3) g(x) Vertex: Minimum or Maximum Vertex: Axis of Symmetry: Number of Solutions:. Level Three There are Level 2 points to be earned in each Level 3 question. You must attempt all Level 3 questions to earn a 2 on the Summative. Consider the work you did on #2 when attempting #5-7. 4. The function f(x) = x² is transformed to h(x) using a vertical stretch of 4, a horizontal shift left 3, and Write an equation for the transformed function. Use vertex form. a vertical shift down h(x) = 5. Sketch a graph of the function h(x). h(x)=2(x+1)² - 1 R(x) -2 5 6 6. Sketch a graph of the function g(x). g(x) = (x-3)²+5 h(x) B

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Chapter9: Quadratic Functions And Equations
Section9.5: Solving Quadratic Equations By Completing The Square
Problem 5GP
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Question
Name:
Tay Jones
Level Two
Date:
Algebra 3 Unit 3: Functions and Equations Practice Assessment
Class:
#7-OneNote
1. The function f(x) = x² is transformed in the following functions. List the vertex for each function,
circle whether the function opens up or down, and why. All three parts must be correct to receive Level 2
points. You can receive points for a, b, and c.
a) g(x) = -2(x+5)²
Vertex:
Opens Up Opens Down
Why? ais negative
-2
Vertex:
b) g(x) = (x + 2)² - 3
c) g(x) = -4(x + 2)² + 2
Opens Up
Opens Down
Vertex:
Opens Up
Opens Down
Why?
4
Ca is negative)
Why? his positive
2. The graph of the function f(x) is shown below. Find the domain, range, and end behavior. Then list the
values of x for which the function values are increasing and decreasing.
f(x)
Domain:
End Behavior:
As x → ∞o, f(x) -> -6
As x, f(x) ->
Range:
Where is it Increasing? (002]
Where is it Decreasing? (1,00)
Transcribed Image Text:Name: Tay Jones Level Two Date: Algebra 3 Unit 3: Functions and Equations Practice Assessment Class: #7-OneNote 1. The function f(x) = x² is transformed in the following functions. List the vertex for each function, circle whether the function opens up or down, and why. All three parts must be correct to receive Level 2 points. You can receive points for a, b, and c. a) g(x) = -2(x+5)² Vertex: Opens Up Opens Down Why? ais negative -2 Vertex: b) g(x) = (x + 2)² - 3 c) g(x) = -4(x + 2)² + 2 Opens Up Opens Down Vertex: Opens Up Opens Down Why? 4 Ca is negative) Why? his positive 2. The graph of the function f(x) is shown below. Find the domain, range, and end behavior. Then list the values of x for which the function values are increasing and decreasing. f(x) Domain: End Behavior: As x → ∞o, f(x) -> -6 As x, f(x) -> Range: Where is it Increasing? (002] Where is it Decreasing? (1,00)
3. The graphs of the functions f(x) and g(x) are shown below. Determine if each function has a minimum
or maximum vertex and list the ordered pair where the vertex occurs. Then locate the Axis of Symmetry
and tell how many solutions or x-intercepts each function has.
(0,2)
-2
0
2
f(x)
Vertex: (Minimum or
Vertex:
Axis of Symmetry:
Number of Solutions:
Maximum
(4.-3)
g(x)
Vertex: Minimum or Maximum
Vertex:
Axis of Symmetry:
Number of Solutions:.
Level Three
There are Level 2 points to be earned in each Level 3 question. You must attempt all Level 3 questions to earn
a 2 on the Summative. Consider the work you did on #2 when attempting #5-7.
4. The function f(x) = x² is transformed to h(x) using a vertical stretch of 4, a horizontal shift left 3, and
Write an equation for the transformed function. Use vertex form.
a vertical shift down
h(x)
=
5. Sketch a graph of the function h(x).
h(x)=2(x+1)² - 1
R(x)
-2
5
6
6. Sketch a graph of the function g(x).
g(x) = (x-3)²+5
h(x)
B
Transcribed Image Text:3. The graphs of the functions f(x) and g(x) are shown below. Determine if each function has a minimum or maximum vertex and list the ordered pair where the vertex occurs. Then locate the Axis of Symmetry and tell how many solutions or x-intercepts each function has. (0,2) -2 0 2 f(x) Vertex: (Minimum or Vertex: Axis of Symmetry: Number of Solutions: Maximum (4.-3) g(x) Vertex: Minimum or Maximum Vertex: Axis of Symmetry: Number of Solutions:. Level Three There are Level 2 points to be earned in each Level 3 question. You must attempt all Level 3 questions to earn a 2 on the Summative. Consider the work you did on #2 when attempting #5-7. 4. The function f(x) = x² is transformed to h(x) using a vertical stretch of 4, a horizontal shift left 3, and Write an equation for the transformed function. Use vertex form. a vertical shift down h(x) = 5. Sketch a graph of the function h(x). h(x)=2(x+1)² - 1 R(x) -2 5 6 6. Sketch a graph of the function g(x). g(x) = (x-3)²+5 h(x) B
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