Describe the transformation of f(x)= 3√(x) -2
Let the graph of g be a vertical shrink of 1/6 followed by a translation 3 units to the left of the graph of f(x)=√ x
1/6√(x+3)
Find EXACT solution(s)
x2=5
x=sqrt 5 and - sqrt 5
2√(x+1)=4
x=3
If a ball takes 3 seconds to hit the ground, determine the height in meters the ball fell given: h = 5t2.
45 meters
Describe the transformation of f(x)=√ (x-3) +4
right 3, up 4
Let the graph of g be a vertical stretch by a factor of 3 followed by a translation 6 units to the up of the graph of y = x2
g(x) = 3x2+6
Find decimal approximations to 2 decimals
x4+2=10
x=-1.68, 1.68
√(2x+5)=√(x+7)
x=2
If a driver hits the brakes and it takes the car 200 feet to stop, estimate the speed she was driving using s = √(15d). Find speed in MPH rounded to 2 decimals.
54.77 MPH
Describe the transformation of f(x)= -3√ (2x)
horizontal/vertical reflection, horizontal shrink by 1/2
Let the graph of g be a reflection in the x-axis followed by a translation 2 up and 1 unit to the right of the graph of f(x)= |x|
g(x) = |x - 1|+2
(8x)3+44=260
x=-3/4, 3/4
5 3√(2x-5) - 10= 15
x=65
If the radius of a dinner plate is 6 in, how much space do you have to put your food (assume you fill it completely). A = 3.14r2. Round to 2 decimals.
113.04 in2
Describe the transformation of f(x)= 3 3√ (x-2) -1
Vertical stretch by 3, right 2, down 1
Let the graph g be a translation 2 units up and 4 units left, followed by a reflection in the y-axis of the graph of f(x)=√(x) -3
g(x) = √(x-4) -1
(x-7)4=16
x=5,9
x+1=√(7x+15)
x=-2,7 BUT x=-2 is an extraneous solution.
If the area of a salad plate is 314 cm2, what is the diameter? r = √(A/3.14). Round to 2 decimals.
20 cm (radius is 10 cm :)
Describe the transformation of f(x)= -√ (2x-8) -2
Reflect x-axis, horizontal shrink by 1/2, right 4, down 2
Let g be a vertical stretch by a factor of 2 followed by a reflection in the x-axis and a shift 1 unit up of the graph of f(x)=3 √ (x+1)
g(x) = -6 √ (x+1) +1
(x+30)1/2=x
x=-5,6 BUT -5 is an extraneous solution
√(x+2) +1=√(3-x)
x=-1,2 BUT x=2 is an extraneous solution
If a ball is dropped 25 meters, how many seconds before it hits the ground? Use the formula: t = √(h/5) and round to hundredths.
2.24 seconds (mathematically there are two solutions but only the positive answer makes sense)