How do you find the minimum value of y in a equation?

If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c – b^2/4a. If you have the equation y = a(x – h)^2 + k and the a term is positive, then the minimum value will be the value of k.

How do you find the maximum value of y in a function?

If you have the graph, or can draw the graph, the maximum is just the y value at the vertex of the graph. If you are unable to draw a graph, there are formulas you can use to find the maximum. If you are given the formula y = ax2 + bx + c, then you can find the maximum value using the formula max = c – (b2 / 4a).

Does Y have a maximum or minimum value *?

At x = 1 there is a maximum of y = 17. At x = −2 there is a minimum of y = −10. c) y = 2×3 + 3×2 + 12 x − 4. Since f ‘(x) = 0 has no real solutions, there are no extreme values….Solution.

What is the minimum value of the data?

The minimum value in the data set is the smallest mathematical value in the data set. The minimum and maximum values can also be the outliers. An outlier is a value that is much larger or smaller than the other values in a data set, or a value that lies outside the given data set.

What are the maximum and minimum values of a quadratic equation?

Also, the maximum and minimum values of a quadratic equation f(x) occurs at x = -b/2a. If the given quadratic equation is in the form f(x) = a(x – h) 2 + m, Then the value of ‘m’ (vertex) gives us the minimum (when ‘a’ is negative) or maximum (when ‘a’ is positive) values of the given function.

How do you find the minimum and maximum value of a function?

When the function is written in standard form, finding the minimum or maximum value is as simple as stating the value of the variable k{\\displaystyle k}. For the two example functions given above, these values are: For f(x)=2(x+1)2−4{\\displaystyle f(x)=2(x+1)^{2}-4}, k=−4{\\displaystyle k=-4}.

How do you find the coordinates of the minimum and maximum value?

If you are asked for the coordinates of the minimum or maximum value, the point will be (h,k){\\displaystyle (h,k)}. Note, however, that in the standard form of the equation, the term inside the parentheses is (x−h){\\displaystyle (x-h)}, so you need the opposite sign of the number that follows the x{\\displaystyle x}.

How do you find the maximum and minimum value of a parabola?

If the parabola opens upward, you will be finding its minimum value. If the parabola opens downward, you will find its maximum value. Calculate -b/2a.