The statement p - q represents "if a number is doubled, the result is even."
which represents the inverse?
o
-p - ~q where p = a number is doubled and q = the result is even
q - p where p = a number is doubled and q = the result is even
-p -q where p = the result is even and q = a number is doubled
q - p where p = the result is even and q = a number is doubled
o

~p → ~q where p = a number is doubled and q = the result is even

Step-by-step explanation:

we know that

The inverse of a conditional statement is when both the hypothesis and conclusion are negated; the “If” part or p is negated and the “then” part or q is negated.

p → q  conditional statement

The inverse is

~p → ~q

in this problem we have

"If a number is doubled, the result is even."

p=a number is doubled

q=the result is even

the inverse is

"If a number is not doubled, the result is not even."

yes yes yes yes yes yes yes yes yes

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