Answer:
the answer is a.
Step-by-step explanation:
Answer:
f(x) + k
Explanation:
Vertical shift is represented by adding/subtracting a constant from the original given equation.
If the constant added is +ve, this means that the curve is vertically shifted upwards
If the constant added is -ve, this means that the curve is vertically shifted downwards.
Now, for the given, we have the original function f(x) and the constant k, therefore, to shift the graph vertically, the new function would be f(x)+k
We have:
f(x) = x² and k = -3
This means that the new function would be:
x² - 3
Since the constant is -ve, we can conclude that the curve is shifted vertically downwards by 3 units
Hope this helps :)
Answer:
Step-by-step explanation:
Commutative
y = 10 and x = 12
Because we know that 6y and the blank angle next to 13y - 10 are alternate interior angles, and these angles are equal, then the blank angle next to 13y - 10 must equal 6y.
Since 6y and 13y - 10 are next to each other on a 180 degree line, then added together those angles must equal 180 degrees. We can set up an equation to solve:
6y + (13y - 10) = 180
19y - 10 = 180
19y = 190
y = 10
The same applies for the top, 6y and 9x +12 are on a 180 degree line. We can make another equation
6y + (9x + 12) = 180
We know the value of y so we can plug it in and solve for x now
6(10) + 9x + 12 = 180
60 + 12 + 9x = 180
72 + 9x = 180
9x = 108
x = 12
