Heidi is preparing for the national gymnastics competition. the table below shows the number of hours heidi spent preparing for a gymnastics competition over a period of five months:
month 1 2 3 4 5
hours 2 3.5 5 6.5 8
did heidi increase the number of hours of practice linearly or exponentially?
a. linearly, because the table shows an equal increase in hours for an equal increase in months
b. exponentially, because the table shows an equal increase in hours for an equal increase in months
c. linearly, because the table shows that hours increase by an equal factor for an equal increase in months
d. exponentially, because the table shows that hours increase by an equal factor for an equal increase

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1