How do you draw an image with y = one square of X?

How do you draw an image with y = one square of X?

The definition of inverse proportion function
Y=X/K
A function of the form y = K / X is called an inverse proportional function
Where k is a constant and K is not equal to 0
What is the image of y = 2 / x square
It's just the square of X
Parabola with opening upward
What are the key points of the properties of inverse proportion function and the significance of K
When x / y is not equal to the origin of all the inverse hyperbolic functions in the image, X / y is not symmetric, In the same quadrant, y decreases with the increase of X. when K 0, the function is a decreasing function on x 0
The image opening of quadratic function y = - 1 / 3 (x + 4) square + 1, when x =, y takes the maximum value
Quadratic function y = - 1 / 3 (x + 4) square + 1
Image opening down
When x = - 4, the maximum value of Y is 1
The form of inverse proportion function, what is inverse proportion function? What is positive proportion function?
Y = A / X (a is a real number) is an inverse proportion function, y = ax (a is a real number) is a positive proportion function
Given the function y = x after the function y = x + 2x + 6 is translated according to vector a, then find the analytic expression of the function y = x after the function y = x is translated according to vector a
Y = x + 2x + 6
y=(x+1)^2+5
One unit to the right, five units to the down, and the function y = x after translation according to vector a
therefore
The analytic expression of the function obtained by y = x cubic translation according to vector a
For:
y+5=(x-1)^3
y=(x-1)^3 -5
Y = x & # 178; + 2x + 6 = (x + 1) & # 178; + 5 according to the vector a translation to get y = x & # 178;, then the vector a = (1, - 5), then y = x & # 179; according to the vector a translation to get y = (x-1) & # 179; - 5
Positive proportion function and inverse proportion function
It is known that y + 1 is positively proportional to Z, and when y = 3, z = 2; Z is inversely proportional to X-1, and when x = 3, z = - 4
Y + 1 is proportional to Z, that is: (y + 1) / z = m, when y = 3, z = 2 is substituted, M = 2, so y = 2z-1; Z is inversely proportional to X-1, that is, Z * (x-1) = n, when x = 3, z = - 4 is substituted, n = - 8, so Z * (x-1) = - 8, that is, when x is not equal to 1, z = - 8 / (x-1), when the result is substituted into y = 2z-1, the final result is y = - 16 / (x -...)
Y + 1 is proportional to Z, i.e
y+1=Kz
When y = 3, z = 2
So k = 2, so y + 1 = 2Z
Z is inversely proportional to X-1, i.e
z(x-1)=p
When x = 3, z = - 4
So p = - 8, so Z (x-1) = - 8
To sum up, y + 1 = - 2 * 8 / (x-1)
How to translate the image of the square of the function y = - 2x to get the image of y = - 2x ^ 2 + 2x-3 / 2
Set y = - 2x ^ 2 + 2x-3 / 2
Y = - 2 (x-1 / 2) ^ 2-1
It's easy to see
The function y = - 2x shifts 1 / 2 units to the right and changes the ordinate to the original square
Then move the image down one unit to get the image of y = - 2 (x - 1 / 2) ^ 2 - 1
Analytic expression of positive proportion function and inverse proportion function
The positive scaling function is y = KX (k is not equal to 0)
The inverse scale function is y = K / X (k is not equal to 0)