First we should get the slope.
m=y2 -y1/x2-x1
=2-1/2-0
=1/2
y=m(x-x1) +y1
=1/2(x-0) +1
=1/2x+1
Answer:
a) vertical translation: up five units
b) horizontal translation: right 2 units
c) vertically stretched by 3 units
Step-by-step explanation:
https://www.humbleisd.net/cms/lib2/TX01001414/Centricity/Domain/3611/Square%20Root%20Graphs%202015.pdf
Answer:
y=-3x+1
Step-by-step explanation:
plug in point into x and y, replace -4 as a +b(or any other variable to represent y intercept)
therefore,
7=-3(-2)+b
7=6+b
1=b
y=-3x+1
9514 1404 393
Answer:
(a) f(3) < g(3)
Step-by-step explanation:
Put the number where the variable is and do the arithmetic.
f(3) = 4·3³ = 4·27 = 108
g(3) = 3·4³ = 3·64 = 192
108 < 192
f(3) < g(3)
If Gail practises swimming for 1 and 1/4 hours a day, then in a week she'll do:
1 1/4 * 7 = 5/4 * 7 = 35/4 = 8 3/4 [hours]
In other words she'll practice 8 hours and 45 minutes a week (assuming that she's still practicing on weekends).
