0
Restate the question: What is the shape of the function y = 16x - x2?
Since the function highest power is a square, this is a quadratic function, and the graph is a parabola. Maybe that's all you wanted to know, but here's the rest of the story:
Since the coefficient of x is negative (it's -1), the parabola opens down (the shape is an upside down 'u').
The x-intercepts are found by factoring and solving: 16x-x2 = 0 -> x(16-x) = 0 -> x=0 or [16-x=0 -> 16=x]. The graph crosses the x-axis at 0 and 16.
The top of the parabola will be where x=8 (half-way between the intercepts). Substitute in y = 16x - x2 = 16(8) - (8)2 = 128 - 64 = 64.
The graph passes through (0,0), (8, 64), and (16,0).
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What is a function whose graph is not a straight line?
y = x2
An equation of a nonlinear function and provide two inputs to evaluate?
y=x2+3 x1=1 x2=2 y(x1) = 1*1+3 = 4 y(x2) = 2*2+3 = 7 x2/x1 = 2, While y2/y1 = 7/4 !=2, and thus the function is nonlinear.
Is y plus x2 plus 1 a function?
That is not a function, although it does involve the function of addition. A function is something that is done to numbers.
How do you evaluate functions?
To evaluate a function means to replace the variable with some value, and calculate the value of the function. For example, in the parabola y = x2 (or, using functional notation, f(x) = x2), if you replace x with 10, and calculate x2, you are evaluating the function for that specific value.
How do you reflect a shape over the line y equals negative x?
substitute x = y and y = -x Ex: y = x2 becomes -x = y2
What is the shape of the function y equals 16x plus x2?
(the shape is an upside down 'u').
Y equals x2 plus 16x plus 59?
Y=(x+8)^2-5
What is the absolute extrema of X2 plus 16X-4?
y = x2 + 16x - 4The minimum value of y in this case is -b/2a, or -16/2, which is -8. If you solve the equation for x = -8, you will find the coordinates of the lowest point are (-8, -68).
What is graph of the function y equals X2?
It looks like a parabola which looks like a U shape.
Is y equals x2 plus 1 a function?
Yes. Think of y as being a function of x. y = f(x) = x2 + 1
What equation function for the shape y equals x2 but upside-down and shifted right 5 units?
-3
Which is an example of a function?
Y = X2 Is a parabolic function.
Is y greater than x 2 a function?
no, but y = x2 is a function
What is the commuative property of 16x y?
16x+y
Is x2 plus 5x a function?
No. x2+5x is a polynomial, an algebraic expression or a formula, but it is not a function. It could be used to help define a function. {(x,y) | y = x2 + 5x , x any real number} is a function
What is the y in a derivative of the function yx3-13x2 16x 5?
There should not be any y in the derivative itself since y or y(x) is the function whose derivative you are finding.
Is y equals x2 a function?
Y=X^2 is a function for it forms a parabola on a graph.
