Suppose you were to create a scatter plot of outside temperature and amount of heating bill. would you expect to see a positive, negative, or no relationship between the two variables. explain your answer.
a.
no relationship.
b.
positive relationship; as the outside temperature decreases, the amount of the heating bill increases.
c.
positive relationship; as the outside temperature increases, the amount of the heating bill increases.
d.
negative relationship; as the outside temperature decreases, the amount of the heating bill increases

Option d

Step-by-step explanation:

Given that the scatter plot is between the two variables namely

i) outside temperature and

ii) amount of heating bill.

We have to check the kind of relationship between them

When outside temperature is hot, the heating would require less energy to eat as temperature rise would be less and hence bill will be less

Alternately, if outside temperature is less, more time and fuel would be taken to heat the quantity and hence we find that whenever outside temperature decreases amount of heating bill increases and vice versa

ie. there is a negative relationship between the two variables

Hence option d is right

negative relationship; as the outside temperature decreases, the amount of the heating bill increases

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