Write a linear function f with the values f(0) = 5 and f(2)= -3.
f(x) =

Step-by-step explanation:

A linear function has the form

y=mx+b, where m=slope and b=y intercept ( the value of y when x=0)

We are given the point (0,5) so we know b is 5. So we just need to find the slope m

m=(y2-y1)/(x2-x1), we have two points (0,5) and (2,-3)

m=(-3-5)/(2-0)

m=-8/2

m=-4 so our line is

y=-4x+5

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: