1). Find and label the vertex and the line of symmetry. Graph the function. f(x) = 4 𝑥 2
The vertex is (0,0) ? (Type an ordered pair.) The line of the symmetry is x=0
2). Find and label the vertex and the line of symmetry. Graph the function. f(x) = (x + 2 ) 2
The vertex is (-2,0) ? (Type an ordered pair.) The line of the symmetry is x= -2
3). Find and label the vertex and the line of symmetry. f(x) = (x + 1 ) 2
The vertex is (-1,0)
(Type an ordered pair.) The line of the symmetry is x=-1

4). Graph the function. Find the vertex, line of symmetry, and maximum or minimum value. f(x) = (x + 2 ) 2 - 5 The vertex is (-2,- 5) (Type an ordered pair.) The line of the symmetry is x= - 2 The maximum and/or minimum values are - 5
5). Find the vertex, line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x) = - 3(x +6 ) 2
+ 3 The vertex is (-6,3) (Type an ordered paid.) The line of the symmetry is x=- 6 The maximum and/or minimum values are 3 What is the graph of the function?

6). Find the vertex, line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x) = -(x + 2 ) 2
- 7 The vertex is (-2,-7) (Type an ordered paid.) The line of the symmetry is x=-2 The maximum and/or minimum values are -7 What is the graph of the function?
7). Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function on paper. f(x) = 𝑥 2 - 6x – 4 What is the vertex
(3,-13) (Type an ordered pair.) The line of the symmetry is x=3 The maximum and/or minimum value of the quadratic function is -13 What is the graph of the function?

8). Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x) = - 𝑥 2
+ 2x +2 What is the vertex (1,3)
(Type an ordered pair.) The line of the symmetry is x=1 The maximum and/or minimum value of the quadratic function is 3 Wxat is the graph of the function?
9). Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x) = - 2 𝑥 2
+ 2x + 10 The x-coordinate of the vertex is 1/2 (Type a simplified fraction.) The line of the symmetry is x=1/2 The maximum and/or minimum value of the quadratic function is 21/2 What is the graph of the function? (If I need any other x-coordinates, I will let you know.)
Maybe you will need y-coordinate of the vertex = 21/2

10). Find the x-intercepts and the y-intercepts. f(x) = - 𝑥 2
+ 7x + 30 The x-coordinates of the intercepts are x= -3,10 (Use a comma to separate answers. Type N if there is no intercept.)
11). A carpenter is building a rectangular room with a fixed perimeter of 132 ft. What dimensions would yield the maximum are? Length =33 ft, Width =33 ft
What is the maximum area? 1089 sq ft
The length that would yield the maximum area is__ 33 ft ________?
12). Aki’s Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.2
𝑥 2
- 0.9x + 6.737, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? The shop should build 225 bicycles?
13). For the scatterplot, determine which of the following types of functions might be used as a model for the data.

a). quadratic b). not linear or quadratic c). linear
14). Which of the following functions might be used as a model for the data in the following graph? a). quadratic, f(x) = a 𝒙 𝟐 + bx + c, a > 0 b) quadratic, f(x) = a 𝑥 2 + bx + c, a < 0 b) c). linear, f(x) = mx + b d). Polynomial, not linear or quadratic
15). Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x) = 2 𝑥 2 - 12x +7 What is the vertex (3,-11)
(Type an ordered pair.) The line of the symmetry is x=3 The maximum and/or minimum value of the quadratic function is -11 What is the graph of the function?

16). Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x) = 3 𝑥 2
What is the vertex (0,3) (Type an ordered pair.) The line of the symmetry is x=0 The maximum and/or minimum value of the quadratic function is 3 What is the graph of the function?