### The importance of determining the vertex of a function.

What is an actual example of when it would be important to determine the vertex of a function?

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What is an actual example of when it would be important to determine the vertex of a function?

Graphs and trees Section 11.5, #16 Either draw a graph with the given specifications or explain why no such graph exists. #16: tree, twelve vertices, fifteen edges Section 11.5, #18 Either draw a graph with the given specifications or explain why no such graph exists. #18: tree, five vertices, total degree

What types of information can you gather from graphing a formula? (Every day use, like budgets, Surveys, etc.)

You are given the vectors X = (1,1,1), y = (2,1,1) and z = (6,2,2). (i) Find the Cartesian equation of the plane Π normal to the vector x containing the point (2,1,1). (ii) Find the parametric equation of the line l through the points (2,1,1) and (6,2,2). (iii) If l' is given parametrically by l' = x + ty (with x

Find the residue of F(z)=cot(z)coth(z)/z^3 at z=0

Please see the attached file for the fully formatted problems. Find a polynomial function for the attached graph and find the solutions to the following parts. A. How many zeros does the function have? What are their multiplicities? B. Construct a polynomial function whose zeros are those identified in Part A. What role d

X varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled?

Without drawing the graph of the given equation, determine: (a) how many x-intercepts the parabola has (b) whether its vertex lies above or below the x- axis. SOLVE PROBLEM: y = x(to the second power) - 5x + 6

The Dub-Dub and Dub Company produces and markets three lines of WEB page designs: A, B, and C; A is a standard WEB page design and B and C are professional WEB page designs. The manufacturing process for the WEB page designs is such that two development operations are required - all WEB page designs pass through both operations

You are told that a line is tangent to the circle centred at (3,2) with radius 2. If the tangent line and circle intersect at the point (4, 2+ sqrt(3)) find the equation of the tangent.

A new set of automatic sliding doors at the entrance to a supermarket is being designed. The doors will consist of a pair of 100cm wide glass panels which are programmed to slide open in opposite directions when a sensor is triggered. The panels are identical except for the direction in which they move. For the purposes of this

Given is the following function: k(x)=2x^2*(℮^(40-x)) Is the change of the above function from delta x 42 to 42.1 approximately smaller than the delta k of 40?

Given is the following function: k(x)=2x^2*(℮^(40-x)) Is the change of the above function from delta x 42 to 42.1 approximately smaller than the delta k of 40? Please give full explanation of answer (mathematical evidence).

(i) Copy and complete Table 1 in order to shown how the total charges under package 1 and under the two scenarios for package 2 compare for different amounts of internet access time per month (0, 1 hour and 10 hours) Table 1 ------------------------------------------------- Access per month/ minutes 0

State the domain and range for each of the following functions (a) f(x) = ln(1 + x squared) (b) f(x) = 1 / (over) x-1 + 1 / (over) x-2

I am having problems interpreting what sin(x/4) is . I have done a graph for sin(X) and sin(x/4) from 0 to 12pi on the x axis,and this makes the x axis go to about 37.699111 radians. The sin(x) goes from 0 up to +1 on the y axis, this is about 90 degrees. Then it goes back through the x axis at about 3, then down to y-1, this is

These questions are about the quadratic function which takes the form: y=ax^2+bx+c Where a is non-zero. Choose the false statements. A. If c=0, then the graph of y will go through the origin B. If B=0, then the graph of y will not be a parabola. C. The graph of y will have a minimum value if a is positive.

Consumer Debt: Bank credit card debt has risen steadily over the years. The table gives debt per household in 1994 dollars. Year (x) 1975 1980 1985 1990 1995 Debt (y) 270 650 1100 1800 3100 a. Plot the data. Does the gr

For what values or range of values are the following functions undefined a) f(x) = 1/x b) g(x) = Square root of (x+2)(x-3) <br>c) h(x) = 5 / x^2-4x-45

Please see the attached file for the fully formatted problem(s). My problem is explained more in my attachment, but briefly, I require some form of equation or graph to calculate where the pivot points within a seven point hinge system need to be in order for the rotating edge to rotate around a origin. The question is in

How do I rearrange equations and then graph them?

Sketch the region bound by the constraints and identify the corners. 2x + 3y is < or = 6 5x + 2y is < or = 10 x is > or = 0 y is > or = 0

Describe the cost C(x), in millions of dollars to inoculate x % of the Canadian population against a particularly virulent strain of flu C(x)=130x ____ 100-x a) sketch the rational function showing only the regions of the curve that are relevant in the context of this problem (ie. an appropriate domain) b) e

The graph below shows the constraints of the objective function: P = 3x + 2y The shaded area is the set of all feasible points. Using the graph above, find the maximum value of the objective function.

I am doing a report on saturating functions and i need to know everything that there is to know about them.

What number is 3/5 of the way from -4/7 to 1 1/8?

Rewrite the function f(x)=x^2+13/3 x+7/3 in the form f(x)=(x+13/6)^2+ c Then need to find the vertex of parabola as the graph of f, finding the y and x intercepts. Find the fixed points of f state whether they repel, attract or are indifferent. Using a gradient, find the interval of attraction for one of the fixed

Find the vertex and intercepts for the Quadratic function, and sketch its GRAPH in WORD. Show all steps to solving the problem. Y = -x^2 + 2x + 3

Find the vertex and intercepts for the Quadratic function, and sketch its graph using word. y = x^2 + 2x - 24

What is the y intercept for p(3,5)q(4,6), m=2?