Answer:
The required function is F(x) = tanx - 2.
Step-by-step explanation:
We all know the graph of tanx ,
The graph of tanx passes through the origin and repeats in the interval of π.
Now , after looking into the graph we can clearly say that it is the shifted graph of tanx , Which is shifted in the -y direction .
Thus ,
It is clear that F(x) must be like F(x) = tanx - c , where c is a positive constant .
Also, At x = 0 , Value of the function is coming out to be -2 ,
Putting x = 0 in F(x) = tanx - c , we get , F(x) = -c .
Thus c = 2.
So, the required function is F(x) = tanx - 2.
We have been given that the biggest bowl of mashed potatoes ever made weighed pounds and was created at the Iowo State Fair in 2005. The biggest deep dish pizza ever made was in Chicago in 1998. It weighed a whopping pounds.
To find how much pizza weighs more than bowl of mashed potatoes, we will subtract weight of mashed potatoes from weight of pizza.
Now we will convert into scientific notation as:
Therefore, the pizza weighs pounds more than the bowl of mashed potatoes.
We have to identify the transformations that take △ABC to △A"B"C".
The first transformation takes △ABC to △A'B'C'. We can see that the triangle is reflected over the x-axis (horizontal axis).
For example, as C is located on the x-axis, C' is also located on the x-axis. For A and B, its vertical coordinates change sign but mantain its absolute value.
We can write this transformation as:
This transformation shows that the horizontal coordinates are mantained and the vertical coordinates have their sign inverted.
The second transformation is a translation. The orientation stays the same but the points are translated a fixed number of units in both the horizontal and vertical direction.
We can take any point and its transformed point and compare its coordinates. For example B'' is 6 units to the right and 2 units up.
Then, we can write:
We can generalize this to the rule:
as the x-coordinate will increase 6 units and the y-coordinate will increase 2 units.
Answer: the transformations are a reflection over the horizontal axis (y=0) and a translation of (x+6,y+2) [First option].
The blank is 3.
What the question is assessing is the distributive property. The 3 term gets distributed to the 6 and the -2, which means it the 6 and the -2 are multiplied by 3.