Answer: a = -3
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Work Shown:
The point (1, -3) is on the blue graph p(x) = a|x|
This means x = 1 and y = -3 pair up.
Use these two values to find 'a'
p(x) = a|x|
y = a|x|
-3 = a*|1|
-3 = a*1
-3 = a
a = -3
The negative 'a' value will apply the reflection over the x axis. The fact that |a| = 3 is larger than 1 indicates the graph is vertically stretched by a factor of 3.
Answer and Step-by-step explanation:
The parent function, f(x) = |x|, has no transformations applied to it.
When the number is with the x, it translates the graph horizontally. <->
When the number is outside of the absolute box, it translates the graph vertically. ^ V
When the number is multiply the absolute box on the outside with the x inside, it scales the graph.
So, first lets apply the translations of horizontal and vertical shift.
The graph translated 1 units downwards.
The graph translates 2 units to the right.
g(x) = |x - 2| - 1
We subtract the 2 because that makes it go right, while if we added it would go left.
Now for the scale.
The lines have a slope of , so that is what we are multiplying.
g(x) = |x - 2| - 1
^That is your transformed function.
#teamtrees #PAW (Plant And Water)
x f(x)
−2 0.22
−1 0.67
0 2
1 6
2 18
g(x) = 3x + 3
x g(x)
−2 3.11
−1 3.33
0 4
1 6
2 12
Based on the tables, what is the solution to the equation 2(3)x = 3x + 3?
A)x=-1
B)x=0
C)x=1
D)X=6
Answer:
X will equal 1
15
21
39
Its C on edge but the answer is 21
Answer:
1. 12.5%
2. 26%
3. 51
4. 16
Step-by-step explanation:
3/24=0.125 -> 12.5%
65/250=0.26 -> 26%
300*0.17=51
0.4*40=16