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:
10^7 or
10× 10× 10× 10× 10× 10× 10 =100,000,00
im banned i cant do nothing
Step-by-step explanation:
Given:
Radius of a cylinder = 5 units.
Surface area of the cylinder =
To find:
The height of the right cylinder.
Solution:
Surface area of a cylinder is:
Where, r is radius and h is the height of the cylinder.
Putting in the above formula, we get
Subtract from both sides.
Divide both sides by .
Therefore, the height of the cylinder is 11 units.
Answer:
1.5
1.5
Step-by-step explanation:
The steps are in the image above
<span>f(x<0)=-f(x>0)=-x^2+5x+12
When x>0, x^2-5x-12=12, x=8, y=12
Therefore, f(x)=12 goes through point (8,12).</span>