ANSWER
The vertex of the graph of
is
EXPLANATION
The vertex form of a parabola is given by
where
is the vertex of the parabola.
The function given to us is
This is already in the vertex form.
When we compare this to the general vertex form, we have,
and
Therefore the vertex of the parabola is
Hence the correct answer is option A.
Answer:
Part A: No it is not a function
Part B: The equation
Part C: x = 3
Step-by-step explanation:
Part A - The table:
Input (x) Output (y)
6 14
12 15
15 15
25 16
This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.
Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.
y = 7(6) -15
y = 42 - 15
y = 27
The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.
Part C: To find when y = 6, set it equal to 6 and solve for x.
6 = 7x - 15
21 = 7x
3 = x
Answer: 96 truckloads, 95 will be full, the last on will have 10 cars
Step-by-step explanation: 1150/12= 95.888> 95*12=1140, 1140+10=1150
Answer:
y-4= -1/2(x-4)
Step-by-step explanation:
First you have to find the slope to write it in point slope
to do this you find change in Y over change in X
From -4 to 4 is postivite 8 and from 8 to 4 its -4
Now you do -4 divided by 8 and get -0.5 or -1/2 for slope now pick one of the points and put it in the formula y-y1=m(x-x1)
