The table shows projections for the female population of a country (in millions). Year Female Population 2015 2040 181 2050 158 187 (a) Find a quadratic function f(x) ax + bx+cthat gives the female population (in millions) in year x, where x=0 corresponds to the year 2000. (b) Estimate the female population in the year 2035.

Can a quadratic function have a range of (- ∞, ∞)? Justify your answer (Please dumb it down)

1. Write the quadratic function in standard form  f(x)=x^2-8x+21 =  2. Write the quadratic function in standard form and identify x intercepts with its smaller x and larger x value.  f(x)=-x^2-4x+1=  3. Write the quadratic function in standard form  f(x)=6x^2-x+1 4. Write the quadratic function in standard form  f(x)=-1/2x^2+4x-9

The graph of a quadratic function is given  f(x) = -x^2+8x-7 (a) Find the coordinates of the vertex and the x and y intercepts. x-intercepts (x,y) = (smaller x-value)                        (x,y)= (larger x- value) y-intercept.    (x,y)=

A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram.   Express the total area of the pasture as a function of x if 1000 feet of fencing is available for construction.

Graph the function f(x)= -3(x)^x +7

Write the quadratic function in standard form. f(x) - -x2 - 4x + 3 f(x) = Sketch its graph. f(x) f(x) 1아 -1아 5 10 10 - 10 -5 10 - 10 -10- f(x) f(x) 10아. 10 WebAssign Plot

A penny is thrown from the top of a 48.9-meter building and hits the ground 3.04 seconds after it was thrown. The penny reached its maximum height above the ground 0.79 seconds after it was thrown. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.     What is the maximum height of the penny above the ground?

how do i rewrite this quadratic function in standard form ? step by step please

Can a quadratic function be sketched with two turning points? Explain.