could someone help me and explain what i need to do ? I'm not sure on how to do this.
The amount of cloth used to make four curtains is given by the function A = -4x² + 40x, where x is the width of a curtain in feet and A is the total area of material in square feet.
1) Determine width of the curtain given the total area of the curtain is 96ft².

2) Determine the area of the curtain given a width of 3.5 feet.

3) Graph the function and label the axis of symmetry, vertex, and the roots (solutions).

4) When the curtain is 5ft width, will 60ft² material be enough? .

Question

could someone help me and explain what i need to do ? I'm not sure on how to do this.
The amount of cloth used to make four curtains is given by the function A = -4x² + 40x, where x is the width of a curtain in feet and A is the total area of material in square feet. 
1) Determine width of the curtain given the total area of the curtain is 96ft².

2) Determine the area of the curtain given a width of 3.5 feet.

3) Graph the function and label the axis of symmetry, vertex, and the roots (solutions).

4) When the curtain is 5ft width, will 60ft² material be enough? .

mysticfury · Answer

man whoever made this question needs to be a bit more clear on what to do. idk what there asking but id say c is wrong cause it dosent sound right, i say b or d but im not sure

agreene · Answer

$$A = -4 x^2 + 40x$$
1) A = 96
2) x= 3.5
3 ) graph A(x)
4 ) $60 = -4(5^2) + 40(5)$  is this true?

anonymous · Answer

1) Substitute for A and solve for x
2) Substitute for x and solve for A
3) graph y=A(x)
4) Check wether LHS=RHS by substituting both A and x
For the first part we have
A=96
$$-4x^2+40x=96$$
Rearranging a little
$$x^2-10x+24=0$$
This is a quadratic equation, solve by factoring or using the quadratic formula
$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$