Transformations
Given f(x) = sqrt(x). Write equation for g(x) when f(x) is translated right 2 units and vertically compressed by a factor of 1/3.
g(x) = 1/3 sqrt(x - 2)
Solve. sqrt(6x - 2) = -4
no solution
A given square root cannot equal a negative number.
Solve. curt(5x + 3) = 4
x = 12.2 or 61/5
Given: s = (-h + sqrt(2h))/a. If s = 5 and h = 8, find the value of a.
a = -4/5 or -0.8
Solve. (x - 3)3/2 = 27
x = 9
Given f(x) = |x|, write the equation, g(x), for a reflection across the y-axis and shift down 2 units.
g(x) = |-x| - 2
Solve. sqrt(8m - 7) = m
m = 1 or m = 7
Solve. curt(4x) - 8 = -4
x = 4
Given: r = sqrt(V/(pi*h)). If V = 512*pi and h = 16, find the value of r.
r = 4
Solve. 5t3/5 = 40
t = 32
Solve sqrt(x - 5) = x + 5.
possibilities -4 and -5 but neither checks
no solution