So since the vertex falls onto the axis of symmetry, we can just solve for that to get the x-coordinate of both equations. The equation for the axis of symmetry is 
, with b = x coefficient and a = x^2 coefficient. Our equations can be solved as such:
y = 2x^2 − 4x + 12: 
y = 4x^2 + 8x + 3: 
In short, the vertex x-coordinate's of y = 2x^2 − 4x + 12 is 1 while the vertex's x-coordinate of y = 4x^2 + 8x + 3 is -1.
Answer:
= 8p
Step-by-step explanation:
Steps
2p · 4
Remove parentheses: (a) = a
= 2p · 4
Multiply the numbers: 2 · 4 = 8
= 8p
Answer:
A the table display qualitative data, C two teachers do not wear glasses, E a total of 6 teachers were polled
Answer:
The discount is the same.
Step-by-step explanation:
We need to find the ratios of both discounts.
41/50 = 61.5/75
If the question is True, this means that the ratios should be the same. So we have to cross multiply to find the answer.
75*41 = 50*61.5 = 3075
These two multiplication problems both equal 3075. Since the ratios are equal, the discounts are also equal.
Answer:
Step-by-step explanation:
Recall that a horizontal translation (shift) in 3 units to the right involves directly subtracting 3 from the variable x (horizontal axis variable) , and that moving the function up 5 units involves adding to the whole function 5 units. That is:
