1. Consider y=f(x)
2. let a and b be 2 positive numbers
3. then the graph of y=f(x)-a is the graph of y=f(x) shifted a units down
4. the graph of y=f(x+b) is y=f(x) shifted b units left
y=f(x-b) is y=f(x) shifted b units right
5. y=f(x+b)-a is the graph of y=f(x) shifted a units down and b units left
6. So
shifted 4 units down and 5 units left is the graph of
7. To check: consider
at x=3. We have the point (3, 27)
Shift this point 4 units down and 5 units left: (3-5, 27-4)=(-2, 23)
Consider
for x=-2
Answer:
3.125
Step-by-step explanation:
Add 1.99 + 2.99 + 3.99 + 3.89 = 12.86
12.86 / 4 = 3.125
You divide by 4 since there are 4 terms.
Hope this helps!!
Top:
(5 + 3)^2 = 8^2 = 64
Bottom:
1 + 2^5 - 23 = 1 + 32 - 23 = 10
so Top / Bottom = 64/10 = 6.4
Hope it helps.
A. Sixty-two is the written form of the number 62. It is hyphenated.
Answer:
the measure of angle Q = 92°
Step-by-step explanation:
<u><em>The quadrilateral OPQR is inscribed inside a circle, then its opposite angles are supplementary</em></u>.
………………………………
Then
m∠O + m∠Q = 180
Then
2x + (2x+4) = 180
Then
4x + 4 = 180
Then
4x = 180 - 4
Then
4x = 176
Then
x = 176/4
Then
x = 44
Therefore
m∠Q = 2(44) + 4 = 88 + 4 = 92°