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1. Find and label the vertex and the line of symmetry. Graph the function

F(x) = 3x2

The vertex is

Type an ordered pair

2. Find and label the vertex and the line of symmetry. Graph the function.

F(x) = (x + 3)2

The vertex is

Type an ordered pair

3. Find and label the vertex and the line of symmetry. Graph the function.

F(x) = (x +2)2

The vertex is

Type an ordered pair

4. Graph the function. Find the vertex, line of symmetry, and maximum or minimum value.

F(x) = (x + 3)2 - 2

The vertex is

Type and ordered pair

5. Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function

F(x) = -5(x + 7)2 +7

The vertex is

Type an ordered pair

6. Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function

F(x) = -(x + 2)2 - 8

The vertex is

Type an ordered pair

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) = x2 - 10x - 6

What is the vertex?

Type an ordered pair

8. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.

F(x) = -x2 +6x + 5

The vertex is

Type an ordered pair

9. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.

F(x) = -2x2 +2x + 3

The x-coordinate of the vertex is

Type a simplified fraction.

10. Find the x-intercepts and y-intercepts

F(x) = -x2 + 6x + 16

The x-coordinates of the intercepts are x=

Use a comma to separate answer. Type N if there is no intercept

11. A carpenter is building a rectangular room with a fixed perimeter of 312 ft. What dimension would yield the maximum area? What is the maximum area?

The length that would yield the maximum area is ......ft

12. Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.6x2 - x + 2.636, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?

Round the answer to the nearest integer

13. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.

F(x) = 2x2 - 8x + 19

What is the vertex?

Type an ordered pair

14. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.

F(x) = 6 - x2

What is the vertex?

Type an ordered pair

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