To find the vertex of a quadratic function, you need to 'complete the square';
Completing the square gives a quadratic in another form;
For quadratics that have an x² coefficient of 1 as is the case, it is a simple matter to complete the square:
For the quadratic x² + bx + c
Simply, put x added to half the coefficient of the x term (b/2) in a bracket and square the bracket;
Then add the constant (c) and the square of the half the coefficient of the x term (b/2), so:
(x + d)² + e, where d is a (rational) number to be identified;
d = b/2
e = d² + c
So, for f(x) = x² + 0x + 3:
Then the completed-the-square form is: f(x) = (x + 0)² + 3
As it happens, this quadratic function has a common normal form and completed-the-square form because the x-coefficient is 0.
The vertex coordinates are, according to the general format given above:
(-d, e).
So, looking at completed-the-square form for the function in question, we can tell the vertex is at the coordinates: (0, 3)
Quadratic functions always have symmetry about the vertical line with the x-coordinate of the vertex;
This makes sense if you think about how the graph looks (u-shaped);
Therefore for our function, the vertex is:
x = 0 (a vertical line with the x-coordinate of the vertex).
Answer:
Option A is correct.
The constant of variation is, 
Step-by-step explanation:
The Direct variation says that:
if a vary directly to b then, the equation is of the form: a = kb where k is the constant of variation.
Given: if y varies directly as x.
By definition of direct Variation:
y = kx where is the constant of variation.
It is also given that: y = -3 and x =2
Solve for k;
-3 = 2k
Divide both sides by 2 we have;
Therefore, the constant of variation is,
For 7: because of the decimal place in the 0.6 it's not a huge number and it's not possible to get a big number like 15000
For 8: because again a fraction dividing is not going to do much you can't get a big difference like the number 30.
Answer:cnbkdbvsdfbfkdbvobdflb;dkgbgjbogbsblgfbkogbopgbkg[gkbgjbog
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
So this one is pretty much like the last one
the distance on the x values is 6 and the distance on the y values is 4
1/6 of 6 is 1 and 1/6 of 4 is .66
We subtract the coordinates from R
4-1 is 3
2 -.66 =1.33
The 1/6 point is at (-3,1.33)
