The vertex form is 
Step-by-step explanation:
The given equation
is a parabola. The vertex of the parabola is of the form
The parameters of the parabola are
and 
The vertex of the x-coordinate is given by 
Thus, substituting the values of a and b in
, we get,

Now, substituting
in
, we get,

Thus, the vertex is 
The equation of parabola to be in vertex form is 
where a is the coefficient of
, h is vertex of the x-coordinate and k is the vertex of the y-coordinate.
Hence,
and 
Thus, substituting the values in the equation of the vertex form,

Hence, the vertex form is 
Answer:
y= <u>9x+55</u>
4
Step-by-step explanation:
if 9x+42=4y-13
9x+42+13=4y
y= <u>9x+55</u>
4
Answer:
Step-by-step explanation:
LCM of 3 and 6 = 6
2/3 = (2×2) / (3×2) = 4/6
4/6 = (4×5) / (6×5) = 20/30
5/6 = (5×5) / (6×5) = 25/30
Hence, 21/30, 22/30, 23/30 and 24/30 are four rational numbers between 2/3 and 5/6.
Y = 3/2x + -2
The original form is y=mix+b
M is the slope which is up 3 over two
B is the intercept or -2