tbggheemoney
23.03.2021 •
Mathematics
Quiz
Question 1 (1 point)
Given the parent function f(x)=2x
, what will be the new function g(x)
if it is shifted 4 units up?
Question 1 options:
g(x)=2x+4
g(x)=2x+4
g(x)=2x−4
g(x)=2x−4
Question 2 (1 point)
Given the parent function f(x)=2x
, what will be the new function g(x)
if it is shifted 3 units up?
Question 2 options:
g(x)=2x−3
g(x)=2x+3
g(x)=2x−3
g(x)=2x+3
Question 3 (1 point)
Given the parent function f(x)=2x
, what will be the new function g(x)
if it is shifted 7 units up?
Question 3 options:
g(x)=2x+7
g(x)=2x−7
g(x)=2x+7
g(x)=2x−7
Question 4 (1 point)
What will be the new function g(x)
if f(x)=2x
is translated 2 units up and 3 units left?
Question 4 options:
g(x)=2x+3−2
g(x)=2x−3−2
g(x)=2x+3+2
g(x)=2x−3+2
Question 5 (1 point)
Given the function f(x)=(14)x
, how will g(x)=(14)x−3+5
be translated?
Question 5 options:
f(x) will be shifted 3 units left and 5 units down
f(x) will be shifted 3 units right and 5 units down
f(x) will be shifted 3 units left and 5 units up
f(x) will be shifted 3 units right and 5 units up
Solved
Show answers
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Ответ:
Since MA ≠ TH, hence MATH is not a rectangle
Step-by-step explanation:
To prove that quadrilateral MATH, M (-4,-1) A(-3,2). T(3,0), H(2-3) is a rectangle, we need to get the length of each sides and show that MA =TH and MH = TA
For MA:
M (-4,-1) A(-3,2)
MA = √(2+1)²+(3+4)²
MA = √(3)²+(7)²
MA = √9+49
MA =√58
For TH:
T(3,0), H(2-3)
TH = √(-3-0)²+(2-3)²
TH = √(-3)²+(-1)²
TH = √9+1
TH =√10
For TH:
M(-4,-1), H(2-3)
MH = √(-3+1)²+(2+4)²
MH = √(-2)²+(6)²
MH = √4+36
MH =√40
For TA:
T(3,0), A(-3,2)
TA = √(2-0)²+(-3-3)²
TA = √(2)²+(-6)²
TA = √4+36
TA =√40
Since MA ≠ TH, hence MATH is not a rectangle