# Quadratic Functions and Word Problems

Please see the attached file - Don't mind the graphing portion, work what can be worked. I have to input answers not write out the whole equation.

7. Find the vertex, line of symmetry, and the maximum or minimum value of a quadratic function, and graph the function.f(x) = -x +6x +2

The vertex is

8. Find the vertex,line of symmetry, and the maximum or minimum value of a quadratic function, and graph the function.f(x) = -2x +2x +1 . The x-coordinate of the vertex is

9. Find the x-intercepts and y-intercepts f(x) =-x +2x +24

The x-coordinate of the intercepts are x =

10. The carpenter is building a rectangular with a fixed perimeter of 320 ft. What are the dimensions would yield the maximum area ? What is the maximum area?

The length that would yield the maximum area is _________ft

11. Aki's bicycle has determined that when x hundred are built, the average cost per bicycle is given by c(x) = (0.4)x +1.8x +8.926, where c(x) is an hundreds of dollars.

How many bicycles should the shop build to minimize the average cost per bicycle?

12. Find the vertex,line of symmetry, and the maximum or minimum value of a quadratic function, and graph the function f(x) =3x -18x+11. What is the vertex?

13. Find the vertex,line of symmetry, and the maximum or minimum value of a quadratic function, and graph the function f(x)= 10-x . What is the vertex?

#### Solution Summary

This looks at several quadratic functions and finds vertices, line of symmetry, and maximum or minimum value. It also solves real-life quadratic word problems.