Answer:
A
Step-by-step explanation:
4, 5, 6, 7
----------->
7 - 4 = 3
The inverse of the function f(x)=1/4x-12 would be 4x-48.
Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:
And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:
In the given equation, we have:
The b term here is 8. Therefore:
The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:
The expression inside the parentheses is now a perfect square trinomial. Factor it:
And we are done!
Answer:
It's the same graph, just translate up 6 vertical units
Step-by-step explanation:
g(x) = f(x) + 6 means,
"The value of function g(x) is 6 more than the value of function f(x)"
The 'value' is the y value, shifting the y value by 6 only effects the placement of the graph vertically. It does nothing to the x values, so the graph doesn't change shape.
See the picture below..
Answer:
-5/3
Step-by-step explanation:
-2 to 1 =3 x=3
4 to -1=5 y=-5
y/x slope=-5/3 or -1 2/3