Can someone help me Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.
V(h,k) = V(1,4), P(0,3).
Y = a(x - h)^2 + k.
P(0,3).
Y = a(0 - 1)^2 + 4 = 3,
a + 4 = 3,
a = -1.
Eq: Y = -1(x - 1)^2 + 4. Vertex Form.
Y = -x^2 + 2x - 1 + 4.
Y = -x^2 + 2x + 3.
Solve using Quadratic Formula:
X = -1, and 3.
Or (-1,0), and(3,0)
Input = X.
Output = Y.
(x,y)
(-3,-12)
(-2,-5)
(2,3)
(4,-5)
Sure! To create an equation of a nonlinear function, you have several options. One common type of nonlinear function is a quadratic function, which has the form:
f(x) = ax^2 + bx + c
Where a ̸= 0, a, b, and c are constants, and x is the variable.
Now, let's create an example of a quadratic function. Let's say we want to create a function that calculates the area of a rectangle. We can call the length of the rectangle 'x' and the width 'y'. The area of a rectangle is given by:
Area = length * width
So, let's create our quadratic function using this formula. We'll set the length and width as variables x and y respectively:
Area = x * y
Now, we can substitute y with another variable z, to create a quadratic function only in terms of x:
z = x * y
Therefore, the equation of our quadratic function would be:
z = x * y
Now, let's provide two inputs for your classmates to evaluate this function.
Input 1: Let's say x = 2 and y = 3.
Plugging these values into our function, we get:
z = 2 * 3 = 6
So, when x = 2 and y = 3, the output z would be 6.
Input 2: Let's say x = -1 and y = 4.
Plugging these values into our function, we get:
z = -1 * 4 = -4
So, when x = -1 and y = 4, the output z would be -4.
I hope this helps you create your nonlinear function and provide inputs for your classmates to evaluate it!