Answer:
- g(x) = 2|x|
- g(x) = -2|x|
- g(x) = -2|x| -3
- g(x) = -2|x-1| -3
Step-by-step explanation:
1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...
g(x) = 2|x|
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2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.
g(x) = -2|x|
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3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.
g(x) = -2|x| -3
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4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...
g(x) = -2|x -1| -3
We know because there are ticks that the opposite sides are congruent. Perimeter is all the sides added up. When we do this, we get:
4 + 4 + 7 + 7
8 + 14
22
Hope this helped!
Answer:
-20/3
The exact form is -20/3
The decimal form is -6.6 repeating
The mixed number form is -6 2/3
Hope this helps!
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(6) 70, 70, 110
∠2 = ∠4 = 110° ( congruent angles )
∠3 = 180° - 110° = 70° ( straight angle )
∠1 = 70° ( vertically opposite ∠3 )
(9) ∠AEC = 15x - 11
since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1
∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11
(7) x = 3
AC = AB + ABC = 32
2x + 6x + 8 = 32
8x + 8 = 32 ( subtract 8 from both sides )
8x = 24 ( divide both sides by 8 )
x = 3
Answer: C. the graph contains (1, 1/10)
Step-by-step explanation:
When x=1, 
.
