Finding vertex and line of symmetry of quadratic function


Assignment:

Q1. 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
(type an ordered pair)

Q2. 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

Type a simplified fraction)
      
Q3. Find the x-intercepts and y-intercepts f(x) =-x +2x +24

The x-coordinateof the intercepts are x =

Q4. 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

Q5. 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?
(round to the nearest integer

Q6. 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?

Q7. 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?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Finding vertex and line of symmetry of quadratic function
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