Determine whether the quadratic function shown below has a minimum or
1 answer:
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
−
1
,
−
6
)
(
-
1
,
-
6
)
Focus:
(
−
1
,
−
49
8
)
(
-
1
,
-
49
8
)
Axis of Symmetry:
x
=
−
1
x
=
-
1
Directrix:
y
=
−
47
8
y
=
-
47
8
x
y
−
3
−
14
−
2
−
8
−
1
−
6
0
−
8
1
−
14
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
−
1
,
−
6
)
(
-
1
,
-
6
)
Focus:
(
−
1
,
−
49
8
)
(
-
1
,
-
49
8
)
Axis of Symmetry:
x
=
−
1
x
=
-
1
Directrix:
y
=
−
47
8
y
=
-
47
8
x
y
−
3
−
14
−
2
−
8
−
1
−
6
0
−
8
1
−
14
Step-by-step explanation:
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The solution is about a distance-time graph. The interpretation of the graph is that it took the family 6 hours to travel a distance of 360 miles. Note that the distance is plotted on y-axis and time on the x-axis.
<h3>What is a distance-time graph?</h3>A distance time graph is a simple graph that shows the relationship between the time travelled the distance covered while doing do.
The slope-intercept form is
y= mx+b−⋯(1)
The y-intercept is 360
⇒b = 360; and m = −60
Substituting the value of m = −60
and b = 360
in (1) above,
⇒y = −60x +360
The x-intercept is
y = 0,
⇒0= −60x+360
hence, x=6
The y-intercept is
x=0
⇒y=−60(0)+360
⇒y=360
In conclusion, the x - intercept is the time in hours between Cincinnati and St. Loui: and
The y - intercept is the distance between Cincinnati and St. Louis.
Learn more about distance-time graphs at:
brainly.com/question/13877898
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