Answer:
x=12
Step-by-step explanation:
6/3=x/6
36=3x
x=12
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.
Tap for more steps...
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
xy112-23-34-251
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
A. Not a function since we have the points (-1,0) and (-1,3). The x value repeats while the y values are different. Plugging in x = -1 leads to multiple outputs, which shows we don't have a function. To get a better visual, you can plot the points. You'll see that the points form a vertical line. Therefore, this graph fails the vertical line test.
B. This is a function. All of the x values are different. The points, when graphed, pass the vertical line test. In other words, its impossible to draw a vertical line through any two points on the graph. Any x input here leads to exactly one y output.
C. This is not a function. Like choice A, we have repeated x values. In this case we have (4,6) and (4,7). The x value x = 4 repeats itself leading to multiple outputs y = 6 and y = 7
D. This is also not a function. The x value x = 0 repeats itself. The graph fails the vertical line test.
--------------------------------
Answer: Choice B
<span />
<em>GCF = 38</em>
- Step-by-step explanation:
<em>38 = 2×19</em>
<em>76 = 4×19 = 2²×19</em>
<em>114 = 2×3×19</em>
<em>GCF = 2×19 = 38</em>
