Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function 
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
Answer: the circle wth 3 covered goes in 1/2 and the rectangle and the other circle go in 3/5 the small square with 2 covered goes in other and the long line of squares goes in other
Step-by-step explanation:
The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters
<h3>What are equivalent
expressions?</h3>
Equivalent expressions are different expressions that have equal values when evaluated and compared
<h3>How to approximate the radical expression?</h3>
The expression is given as:
-8 + √20
The above expression is a radical expression
So, we start by doing the following
Express 20 as 5 * 4
-8 + √20 = -8 + √(5 * 4)
Split the radical expression √(5 * 4)
-8 + √20 = -8 + √5 * √4
Evaluate the square root of 4 i.e. √4 = 2
-8 + √20 = -8 + √5 * 2
This gives
-8 + √20 = -8 + 2√5
Evaluate the square root of 5
-8 + √20 = -8 + 2 * 2.2
Evaluate the product of 2 and 2.2
-8 + √20 = -8 + 4.4
Evaluate the difference
-8 + √20 = -3.6
Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6
So, the complete equation is:
-8 + √20 = -3.6
Read more about equations at:
brainly.com/question/2972832
#SPJ1
Answer:
Q (2.5, -4)
Step-by-step explanation:
Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5
AQ = (x - 1, y + 5)
QC = (10 - x, 1 - y)
AQ:QC = 1:5
so 5*AQ = QC
5(x - 1) = (10 - x)
5(y + 5) = 1 - y
Solve them:
5x - 5 = 10 - x
6x = 15
x = 15/6 = 2.5
5y + 25 = 1 - y
6y = -24
y = -24/6 = -4
Then answer is Q (2.5, -4)
