Graphs
Vertex Form
Standard Form
Parabolas
misc.
Solving Quadratics
100
These are the zeros of the graph
What are -1 and 4
100
The parabola of the equation opens in this direction
y=-3(x-2)^2+6
What is down
100
This is the range of the function
f(x)=x^2-9
What is
y>=-9
100
These are the coordinates of the vertex of the parabola...
What are (-1, -3)
100
This is how many zeros the graph has
What is no zeros
100
This is the product of
(n-3)(n-8)
What is
n^2-11n+24
200
These are the roots of the graph
What are 0 and 4
200
This is the vertex of the graph of the function
f(x)=(x-3)^2+11
What is (3, 11)
200
This is how many zeros the graph of the function has
y=x^2+6x+9
What is 1
200
This is the y-intercept of the parabola...
What is -2
200
This is the factored form of
3x^2+5x-12
What is
(x+3)(3x-4)
200
This is the new function after the parent function of quadratics is translated 7 units up.
What is
g(x)=x^2+7
300
This is the axis of symmetry of the graph
What is x = 2
300
These are the coordinates of the vertex of the function
f(x)=(x-3)^2-9
What are
(3, -9)
300
This is the quadratic formula
What is
x=(-b+-sqrt(b^2-4ac))/(2a
300
This is the axis of symmetry of the parabola...
What is x = -1
300
This is the range of the graph of the function
f(x)=-x^2+60x
What is
y<=900
300
This is the new function after translating the parent quadratic function to the left 5 units.
What is
g(x)=(x+5)^2
400
This is the y-intercept of the graph
What is 0
400
These are the coordinates of the vertex of the function
f(x)=4(x-3)^2+5
What are (3, 5)
400
This is the range of the function
f(x)=5x^2-20x+12
What is
f(x)>=-8
400
This is the domain of the parabola...
What is all real numbers
400
This is the range of the graph of the function that produces the table
What is
f(x)<=19/4
400
These are the solutions to the equation
(x-3)^2=25
What are -2 and 8
500
This is the range of the graph
What is
y<=4
500
This is the equation below converted to standard form
y=(x+3)^2-1
What is
y=x^2+6x+8
500
This is the positive solution to the equation
0=x^2-2x-35
What is 7
500
This is the range of the parabola...
What is
y>=-3
500
This is the product of
(2a+5)(3a-2)
What is
6a^2+11a-10
500
These are the solutions to the equation
2(x-1)^2=32
What are
{-3, 5}
600
This is the domain of the graph
What is
{-2<=x<=3}
600
This is the function converted to standard form
f(x)=4(x-3)^2+5
What is
f(x)=4x^2-24x+41
600
This is the negative solution to the equation
x^2-2x-35=0
What is 5
600
This is the minimum value of the graph
What is -4
600
The parent function of quadratic functions is translated to create the following function. This is the vertex of the new function.
g(x)=(x-7)^2
What is (7, 0)
600
These are the solutions to the equation
10x^2-7x-12=0
What are 1.5 and -0.8 or
{3/2, -4/5}