Transformations
It was flipped over the x-axis (down).
Write the expression in radical form:
x3/4
4th root of x3
Is this a growth or decay and by how much?
y=99(1.03)x
Growth, 3%
What is 190% of 10?
19
Solve:
3x+2=5
x=1
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-5, 3). What is the vertex of the function defined as g(x)=f(x-3)-5?
(-2,-2)
Simplify:
(1001/2)5
100,000
What is the value of log3(81)?
4
What is the result when 70 is increased by 20%?
84
what is the value of i222?
-1
How is y=(-x)2-2 transformed from the function y=x2?
Flipped over y-axis and down 2
Express 645/3 in simplest radical form.
1024
Write the log equation as an exponential equation.
log9(x)=3x
93x=x
For Zoey's lemonade recipe, 7 lemons are required to make 14 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
1/2 lemons
Multiply and Simplify:
(5x-3)(x+4)
5x2+17x-12
What type of transformation is happening to this function?
f(x)=|x| to g(x)=-2|x+4|-3
Flipped over x-axis, shrink by x2, left 4 and down 3
Simplify:
(27x9y-6)2/3
9x6/y4
Solve for x.
25x+2=5x+3
x=-1
Solve the system of equations:
3x+4y=6
-x-2y=2
(10,-6)
What room are we in?
129
What type of transformation is being done to this function:
f(x)= 2x transfromed g(x)= -2(-x+4)-6
Flipped over x and y axis, left 4 and down 6.
Solve:
sqrt(x+13)=x+1
x=3,-4
Solve for the exact value of x.
2ln(x+4)-13=-1
e6-4
Given the speeds of each runner below, determine who runs the fastest.
Brooke runs 15 feet per second.
Jake runs 331 feet in 24 seconds.
Liz runs 1 mile in 428 seconds.
Frank runs 608 feet in 1 minute.
Brooke, 15 feet per second
Solve the following system of equations for all three variables.
-5x-2y+z=-2
4x+8y+z=-10
6x-3y-z=-5
(-2,1,-10)