The parent function 
passes through the point 
, since 
Your function passes through the point 
, which means that the parent function has been translated 3 units up.
To translate a function vertically, you have to add a constant, i.e. you have to transform 
k is the amount of units you want to translate: positive if you translate upwards, negative if you translate downwards.
In your case, you move 3 units upwards, so you want k=3 and your function is
Answer:
D
Step-by-step explanation:
A. false; the diameter of a circle is double the radius
B. false; the diameter of a circle is double the radius
C. false; the diameter of a circle is double the radius
D. true! The diameter is double the radius
Answer:
a) 820
b)450
c) -540
d) -294
e) 1440
f) 1425
Step-by-step explanation:
a) it is an arithmetic progression with ratio=4
a1=3,
a2=3+r=3+4=7.....
a20=a1+19r
so a20=3+19*4=3+76=79
S=(a1+an)*n/2 where n=20
so S=(3+79)*20/2=820
b) a15=a1+14*r=2+14*4=2+56=58
S=(a1+a15)*15/2=(2+58)*15/2=60*15/2=30*15=450
It is the same formula for all the exercises
S=(a1+an)*n/2 , where n is the number of terms
c) a40=30+39*(-3)=30-87=-57
So S=(30-57)*40/2=-540
d) a14=5+13*(-4)=5-52=-47
S=(5-47)*14/2=-42*14/2=-42*7=-294
e) it is 5+7+9+......+75
nr of terms = (an-a1) :r+1=(75-5):2+1=36
S=(5+75)*36/2=36*40=1440
f) ratio=7-4=3
the same formula for n= (91-4):3+1=87:3+1=29+1=30
S=(4+91)*30/2=95*30/2=2850/2=1425
D a rhombus has Diagonals that are not necessarily perpendicular
Answer:
Step-by-step explanation:
we will use distributive property to write an equivalent expression:
7(-2x)+7(6)
