snshusat161 said:Do you know how to make graph for quadratic equations?
megatronic said:Homework Statement
Let f(x)= 125x-6x2 find the maximum value of f to four decimal places graphically
Homework Equations
(x)= 125x-6x2
The Attempt at a Solution
Homework Statement
attempt solution:
x=-b+[tex]\sqrt{}b2-4ac[/tex]/2a
x=-125+[tex]\sqrt{}1252-4(-6)(0)[/tex]/2a
x= 0/-12=0
x=-b-[tex]\sqrt{}b2-4ac[/tex]/2a
x=-b-[tex]\sqrt{}b2-4ac[/tex]/2a
x=(-125-125)/-12
x=-125/6
The OP is not supposed to use a formula. He/she is supposed to find the maximum by looking at a graph of the function.Angry Citizen said:Think what 'maximum' is. Note that maximum does not refer to an x value.
There is a formula to determine the maximum or minimum value of a parabola. Give it a hard think. It'll come to you.
A quadratic function is a type of polynomial function with a degree of 2. It can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and x is the variable.
The graph of a quadratic function is a parabola, which is a U-shaped curve. The direction and shape of the parabola depend on the values of the coefficients a, b, and c.
The vertex of a quadratic function can be found by using the formula x = -b/2a. This will give you the x-coordinate of the vertex. To find the y-coordinate, you can substitute the x-coordinate into the original function.
The quadratic formula is a formula used to solve quadratic equations. It is written as x = (-b ± √(b^2-4ac)) / 2a. This formula can be used to find the x-intercepts of a quadratic function or to solve a quadratic equation when it is set equal to 0.
The discriminant of a quadratic function is the expression under the square root in the quadratic formula, b^2-4ac. It can be used to determine the nature of the solutions of a quadratic equation. If the discriminant is positive, there are two real solutions. If it is zero, there is one real solution. And if it is negative, there are no real solutions.