Geometric Transformations
Quadratics With Algebra
Quadratics Applications
Radical And Rational Functions
Functions
100
Find the function rule.
y = 2x+3
100
u2−5u−14=0u2−5u−14=0
u=−2 and u=7
100
Jason jumped off a cliff into the ocean in Acupulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t)=-16t^2+16t+480, where t is the time in seconds and h is the height in feet.
What was the highest point that Jason reached?
484 ft
100
f(x)=−4/x−2
f(0)=2→(0,2)
f(3)=−4→(3,−4)
100
Does the equation
y 2 + x = 1
represent a function y in terms of x?
y = + √(1 - x) or y = - √(1 - x)
200
Identify the transformation from A to D.
90o Clockwise Rotation
200
Rahul and Rohan have 45 marbles together. After losing 5 marbles each, the product of the number of marbles they both have now is 124. How to find out how many marbles they had to start with.
x = 36 and x = 9
200
Find a,b, and c so that the parabola whose equation is y=ax^2+bx+c has it's vertex at (3,2) and passes through the point (-1,10)
y=1/2x^2-3x+13/2
200
f(x)=8x2+x−6f(x)=8/x^2+x−6
(0,f(0))=(0,−43)(0,f(0))=(0,−43).
200
Functions f and g are defined by
f(x) = - 7 x - 5 and g(x) = 10 x - 12
find (f + g)(x)
(f + g)(x) = 3 x - 17
300
G(-4,1),After a translation of 3 units down and 5 units right
G’(1, -2)
300
6−6x2=3x
x=1±17/-4
300
A small independent motion picture company determines the profit p for producing n DVD copies of a recent release is P=-0.02n^2+3.40n-16. P is the profit in thousands of dollars and n is the thousands of units.
How many DVD's should the company produce to maximize the profit?
85 thousand DVDs
300
f(x)=6−2x/1−x
6−2x=0→x=3
300
Function f is defined by
f(x) = - 2 x 2 + 6 x - 3
find f(- 2).
f(-2) = - 2 (-2) 2 + 6 (-2) - 3
f(-2) = -23
400
Triangle ABC has vertices A(5,2). Find the coordinates of ABC after a reflection over the x-axis.
A’(5, -2)
400
9=−7x+7x2
x=−7±301/-14
400
A small independent motion picture company determines the profit p for producing n DVD copies of a recent release is P=-0.02n^2+3.40n-16. P is the profit in thousands of dollars and n is the thousands of units.
What will the maximize profit be?
128.5 thousand dollars
400
7√y
y1/7
400
Function h is defined by
h(x) = 3 x 2 - 7 x - 5
find h(x - 2).
3 x 2 - 19 x + 7
500
Identify the transformation from ABCD to A'B'C'D'.
Reflection across the y-axis
500
−9x+10x2+8=14
x=9±321/20
500
Jason jumped off a cliff into the ocean in Acupulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t)=-16t^2+16t+480, where t is the time in seconds and h is the height in feet.
How long did it take Jason to reach the maximum height?
x=1/2
x=0.5 seconds
500
3√1000
3√1000=1000 and 13=10
500
Is the graph shown below that of a function?
The graph is not that of a function.