Please help...My answer is close but not close enough.. No links :)
1 answer:
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<u>Given</u>:
The parent function is
We need to determine the function g(x) created from the function f(x) by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units.
<u>Shift left 9 units:</u>
The rule to shift the graph c units to the left is given by
where c is the positive real number.
Hence, to shift the graph 9 units to the left is given by
<u>Vertical stretch by a factor of 4:</u>
The rule to stretch the graph vertically by a factor of c is given by
where
Hence, to stretch the graph vertically by a factor of 4, we have;
<u>Shifting 5 units up:</u>
The rule to shift the graph c units upward is given by
where c is the positive real number.
Hence, to shift the graph 5 units upward is given by
Therefore, the function is created from the graph
by moving the graph left 9 units, vertically stretching it by a factor of 4 and shifting up 5 units.
Hence, the graph g(x) is
Answer:
489.40 cm³
Step-by-step explanation:
Since the cross section is parallel to their respective bases, hence:
Area of the cylinder cross section = area of the circular base = πr²
where r is the radius of the cylinder base.
Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm
Since both cross sections have same area, hence:
Area of cylinder cross section = Area of rectangle base
πr² = 8.1 * 3.8
r² = 9.8
r = 3.1 cm
Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³
