The equation is f(x) = |x+5| - 1 which is shown in the graph after applying the transformation to the parent function f(x) = |x| option (C) is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function is shown in the picture:
The graph is representing a mod function:
f(x) = |x|
By applying transformation:
f(x) → f(x) - 1
f(x) = |x| - 1
The function will shift down by 1 unit.
x → x + 5
f(x) = |x+5| - 1
Thus, the equation is f(x) = |x+5| - 1 which is shown in the graph after applying the transformation to the parent function f(x) = |x| option (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Answer:
125
Step-by-step explanation:
Given
f(x) = 5x²
g(x) = 2x + 3
Now
g(-4) = 2 * (- 4) + 3
= - 8 + 3
= - 5
Also
f(g(-4)) = f( -5)
= 5 * ( -5)²
= 5 * 25
= 125
Answer:
Step-by-step explanation:
Let the number is in the form of xyz
<h3>We have</h3>
Sum of the digits is 19
The second digit is one more than the first digit
The third digit is two more than the second digit
- z = y + 2 = x + 1 + 2 = x + 3
<u>Substitute the values of y and z</u> into the first equation and solve for x
- x + x + 1 + x + 3 = 19
- 3x + 4 = 19
- 3x = 15
- x = 5
<u>Find the value of y and z</u>
- y = 5 + 1 = 6
- z = 5 + 3 = 8
The number is 568
Answer:
x+7 ≤ 20
Just take it step by step:
seven more than a number is a number plus 7 (x+7)- keep in mind we dont know what the number is so we use x to represent the number.
it then says it's equal to at most 20.
This means that it cant equal anything above 20 since 20 is the max. Therefore, it must be 20 and below that x+7 equals
x+7≤ 20
≤ -this symbol means less than or equal to
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
The angles are marked as alternate interior angles. To be parallel, they must be equal. In other words x - 20 must equal 52. That's all you have to do. Just equate the 2 givens and solve.
Givens
x - 20 is one angle
52 is the other.
Solution
x - 20 = 52 Add 20 to both sides.
x - 20 + 20 = 52 +20 Combine
x = 72
Answer: C
