I need for this problem. Help please!
1 answer:
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Answer:
f(x)= 3*(-|x+4|+5)
Step-by-step explanation:
Given the function f(x)=|x|
1. Transform the graph in a reflection across the x-axis:
You can transform the graph multiplying it by -1, so you have:
f(x)= -|x|
2. Translate the graph 4 units to the left:
You can translate the graph adding the number inside the absolute value, so:
f(x)= -|x+4|
3. Translate the graph up 5 units:
You can translate the graph up adding the number of units, but outside the absolute value, then:
f(x) = -|x+4|+5
4. Finally to transform the graph with a vertical stretch with a scale factor 3:
You should multiply the function by 3
f(x)= 3*(-|x+4|+5)
Answer:
x = 3
Step-by-step explanation:
Since the angle at the vertex is bisected then the following ratio is true
=
, that is
=
( cross- multiply )
4(9x - 9) = 3(6x + 6) ← distribute parenthesis on both sides
36x - 36 = 18x + 18 ( subtract 18x from both sides )
18x - 36 = 18 ( add 36 to both sides )
18x = 54 ( divide both sides by 18 )
x = 3