Function Operations
Simplify
(3x2+5x-2)+(2x2-4x+7)
What is 5x2+x+5
Identify the transformations
f(x)=(x-3)2+4
What is right 3 up 4
What is the vertex of the following quadratic function
f(x)=x2+6x+5
What is (-3, -4)
What is the equation for a linear function?
What is y=mx+b
Factor completely
2x2+7x+3
What is
(2x+1)(x+3)
Simplify
(6x2-3x+1)-(2x2+5x-8)
What is 4x2-8x+9
Identify the transformations
f(x)=3(x+2)2-5
What is Left 2, Down 5, Stretch by 3
What is the vertex of the following quadratic function
f(x)= x2-8x+12
What is (4, -4)
What is the name of the shape of a quadratic equation?
What is a parabola (u-shaped)
Solve by factoring
4x2-49=0
What is
x= 7/2 and x=-7/2
Simplify
3x(x2-4x+5)
What is 3x3-12x2+15x
Identify the transformations
f(x)= -1/2 (x-1)2+2
What is Right 1, Up 2, Reflect x-axis, compress by 1/2
A ball is thrown from the top of a playground, following the quadratic function:
f(x)= -2x2+12x+10
What is the maximum height reached, and at what time?
What is: 28 feet at 3 seconds.
How can we determine if an exponential equation is a growth or decay?
What is: if b is greater than 1 it is a growth, and if b is between 0 and 1 it is a decay.
How many solutions does the quadratic equation have?
x2+6x+1=0
What is 2 Real Solutions
Simplify
(2x-3)(x+5)
What is
2x2+7x-15
State the vertex of the quadratic equation
f(x)=(x-5)2+1
What is (5, 1)
A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by
h(t)= -16t2+64t+80
What was the height of the rocket prior to launch?
What is 80 feet.
Provide an absolute value equation where it has the following transformations:
Right 5, Down 1, Reflect x-axis, stretch by 3
What is: f(x)= -3|x-5|-1
Solve by Quadratic Formula
2x2+3x+2=0
What is: No Real Solutions
Find the Volume of a Rectangular Prism with the following dimensions:
Length:3x+1
Width: 3x-1
Height:5x
What is: 45x2-5x
State the vertex of the quadratic equation
f(x)= -(x+2)2+6
What is (-2, 6)
A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by
h(t)= -16t2+64t+80
How long does it take for the rocket to hit the lake?
What is: 5 seconds
Expand the quadratic equation from Vertex Form, to Standard Form:
f(x)= 2(x-4)2-9
f(x)=2x2-16x+23
Solve by Quadratic Formula
6x2+x-2=0
What is x=1/2 and x=-2/3