For this case the main function is:
f (x) = x ^ 2
We are going to apply the following transformations:
Vertical translations
Suppose that k> 0:
To graph y = f (x) + k, move the graph of k units up.
We have then:
f (x) = x ^ 2 + 5
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
f (x) = (x + 1) ^ 2 + 5
Answer:
f (x) = (x + 1) ^ 2 + 5
Answer:
x = 4
Step-by-step explanation:
Using the rule of logarithms
x = n , then x = 
Given
(5 + 11x) = 2 , then
5 + 11x = 7² = 49 ( subtract 5 from both sides )
11x = 44 ( divide both sides by 11 )
x = 4
To solve this problem, we are going to set up an equation. Let the number that we are trying to find be represented by the variable x. If we plug in the numbers that we know, we get the following equation:
3x/4 = 24
To simplify this equation, we need to multiply both sides by 4, to begin getting the x alone on the left side of the equation.
3x = 96
Finally, we need to divide both sides by 3, to get rid of the coefficient that is being multiplied to x.
x = 32
Therefore, the number that you are trying to find is 32.
Answer: The area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.
Step-by-step explanation:
I will assume that the exercise says "
times the base and height of Jerry’s rhombus".
The area of a rhombus can be calculated with the following formula:
Where "b" is the length of the base and "a" is the altitude or the height.
Then, you can calculate the area using the formula shown above.
Therefore, you get:
1. Jerry's rhombus:
2. Charlene's rhombus:
Dividing the area calculated, you get:
Therefore, you can conclude that the area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.
