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 :)
To do complex fractions, do whats on the bottom and top and then divide the bottom and top fractions and you should get your answer. For example in a equation like 1/2 + 1/2/ 1/4 + 1/4, you would have to solve the equations in the denominator and numerator. So 1/2 + 1/2 is equal to a whole, or 1. So now that we've solved the numerator's equation, the problem is now, 1/1/4 + 1/4. Now I solve for the denominator. 1/4 + 1/4 is equal to 2/4. So now my equation is 1/2/4. Finally I divide 1 by 2/4, which will give me 2. Hope this helps you.
Answer:
A
Step-by-step explanation:
The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!
233 to 1 significant figure :
233 ≈ 200 (1 s.f.)
A) -2.8 > -3.5 is true. There are infinite solutions.
B) -7.75 < -8.45 is false. There is no solution.
C) 6.52 < 6.5 is is false. There is no solution.
D) -11.1 > 10.7 is false. There is no solution.
