The graph of the cube root parent function y =∛ x is translated to form f(x) shown on the graph.
2 answers:
1. draw the graph of the parent function ![y= \sqrt[3]{x}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B3%5D%7Bx%7D%20)
, as shown in the attached figure.
a few important point will be enough: (0, 0), (1, 1), (-1, -1), (8, 2), (-8, -2)
2. (0, 0) is an important point of the parent function, because as we go from the left to the right, the graph is concave up, than at (0, 0) it switches to concave down.
this point is called an inflection point, and in this function there is clearly only one.
3. The inflection point (0, 0) of the parent function has been translated to (-6, 1), so all points have been shifted 6 units left and one unit up
so![f(x)= \sqrt[3]{x+6}+1](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Csqrt%5B3%5D%7Bx%2B6%7D%2B1%20)
Answer: A
Remark, for horizontal shift, we use the opposite sign, for vertical shift, the same sign
a few important point will be enough: (0, 0), (1, 1), (-1, -1), (8, 2), (-8, -2)
2. (0, 0) is an important point of the parent function, because as we go from the left to the right, the graph is concave up, than at (0, 0) it switches to concave down.
this point is called an inflection point, and in this function there is clearly only one.
3. The inflection point (0, 0) of the parent function has been translated to (-6, 1), so all points have been shifted 6 units left and one unit up
so
Answer: A
Remark, for horizontal shift, we use the opposite sign, for vertical shift, the same sign
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The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
<h3>What is the area of trapezoid?</h3>The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.
Here, (a and b) are the base sides of the trapezoid and (h) is the height.
A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,
Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,
C=812×$8.30
C=$6739.6
Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,
Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
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