Answer:
D
Step-by-step explanation:
These are transformations. One thing to remember is that only a sign change (like a negative sign on the new function) will change the direction in which the parabola opens.
Here, going from f(x) to 1/2 * f(x) has no sign change, so the parabola will open in the same direction as before. Eliminate A and C.
Vertical transformations are those that are done to the entire function, as opposed to horizontal transformations which are done only on the x. Here, since we're multiplying 1/2 to f(x), we have a vertical transformation.
There are different transformations. The one here would be a vertical shrink by a factor of 1/2. Vertically shrinking a function is basically the same as compressing it, which would make it wider.
The answer is thus D.
This ratio can be written as 8x+5x =390
Add the variables
13x = 390
Divide by 13 to get the value of x
390/13 = 30
Here are the areas of the 12 rectangular surfaces that make up the surface area of the podium:
7.5 x 1.5 = 11.25 square feet (Bottom)
1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Bottom Sides)
2.5 x 1.5 x 2 = 7.5 square feet (Right/Left Flat)
1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Top Sides)
2.5 x 1.5 x 2 = 7.5 square feet (Top Front/Back)
2.5 x 1.5 = 3.75 square feet (Top)
7.5 x 1.5 x 2 = 22.5 (Bottom Front and Back)
The area of all these surfaces is 61.5 square feet.
Letter C.
The series is neither arithmetic or geometric.
The pattern is
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
n^2 is the pattern where n is the position in the series.
