Answer:
f
(
x
)
=
3
(
x
−
1
)
2
+
5
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
3
h
=
1
k
=
5
Find the vertex
(
h
,
k
)
.
(
1
,
5
)
image of graph
Answer:
-1
Step-by-step explanation:
We can find the slope by change in y of change in x
change in y
---------------------
change in x
The y changes -3 ( goes down 3)
the x changes +3 ( to the right 3)
-3
----
3
This simplifies to -1
Answer:
I am going to answer the ones you haven't answered yet...
Bullet point 2: The Y-intercept is where the graph crosses the y-axis in this case that would be y=0 or (0,0)
Bullet Point 5: the question basically says that for the values of x when they are between 0 and 6 the y values are ___. the answer for this one would be y ≥ 0.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut point with the y axis
By definition, if two lines are perpendicular then the product of their slopes is -1.
If we have: 

Thus, the equation is of the form:

We substitute the point:

Finally, the equation is:

Answer:
