Answer:
- reflection over the x-axis
- translate right 2 units
- translate down 3 units
Step-by-step explanation:
Horizontal translation of the graph of a function is accomplished by replacing x with (x-h) for translation h units to the right. Vertical translation of the graph is accomplished by adding the amount of translation to the function value: f(x)+k translates the graph k units upward.
Reflection of a function over the x-axis is accomplished by changing the sign of every function value: -f(x).
<h3>Application</h3>
We observe that f(x) has been transformed by ...
- multiplying by -1 to get -f(x)
- replacing x with (x -2) to get -f(x -2)
- adding -3 to the function value to get -f(x -2) -3
The effect of these transformations is (correspondingly) ...
- reflection over the x-axis
- translate right 2 units
- translate down 3 units
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The attached graph shows a function f(x) (red) and the transformed function (blue).
Answer:
The slope is undefined.
Step-by-step explanation:
Your points are (4, 5) and (4, -2).
x₁ = 4, y₁ = 5
x₂ = 4, y₂ = -2
Slope = (y₂ - y₁)/(x₂ - x₁) Insert the values
Slope = [5 – (-2)]/(4 - 4)
Slope = 7/0
Slope = undefined
Your line is vertical, so the slope is undefined.
Answer:
A) 14°
Step-by-step explanation:
If α and β are the two angles other than 90° in a right triangle, then we have the relation between α and β as, α+β=90°.
Therefore, Sin α = Sin (90° -β) =Cos β.
So, we can write the reverse as if Sin α = Cosβ, then we have α + β =90°.
It is given that, Sin (3x-27) = Cos (5x+5).
Hence, we can write (3x-27) + (5x + 5) = 90
⇒ 8x = 90+27-5 =112
⇒ x = 14°
Therefore, option A. is correct. (Answer)
Yes, Each student will receive 42 tickets when split evenly among the students. The groups of kids given to us is irrelevant to the problem. When all tickets are distributed evenly to the students, All the kids will have 42 tickets which is fair.