Square pyramid is the answer to your question
Answer:
- y = -(x-1)² . . . . reflected over the x-axis
- y = (x-1)² +1 . . . . translated up by 1 unit
- y = (x+1)² . . . . reflected over the y-axis
- y = (x-2)² . . . . translated right by 1 unit
- y = (x-1)² -3 . . . . translated down by 3 units
- y = (x+3)² . . . . translated left by 4 units
Step-by-step explanation:
Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:
- f(x-a) . . . translates right by "a" units
- f(x) +a . . . translates up by "a" units
- a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
- f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.
Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.
Answer:
(2) The motorcycle cost $12,000 when purchased.
Step-by-step explanation:
In the standard exponential equation, y = ab^x, a is the original value.
Since the equation is V(t) = 12,000(0.75)^t, a is 12,000.
This means that the original value was 12,000.
So, the motorcycle cost $12,000 when it was first purchased.
The correct answer is (2) The motorcycle cost $12,000 when purchased.
Answer:
The solution of equation
is 0.53,-7.53.
Step-by-step explanation:
Given : Quadratic equation 
To find : The solution of equation ?
Solution :
The solution of the quadratic equation
is
Here, a=1, b=7 and c=-4.
Substitute the values,
Therefore, the solution of equation
is 0.53,-7.53.
To find the area of a trapezoid, we use the following formula:

In this formula a represents the area and b1 and b2 each represent a base of the trapezoid.
So, we have got the following information



Filling in the formula gives us:



Finally we have to divide both sides by 15.

Therefore, the height of the trapezoid is 10 meters.