Characteristics of Quadratics
Standard Form
Vertex Form
Factored Form
Surprise
100
What is the y-intercept of this graph?
(0, -5)
100
What are the a, b and c values of the following standard form quadratic equation?
y= 3x2+5x-1
a: 3
b: 5
c: -1
100
Does the following parabola open up or down?
y= -(x+5)2 -1
down
100
Does this function have a maximum or minimum?
y= -2(x+3)(x-1)
Max
100
What is the domain of any quadratic function?
All real numbers
200
What is the vertex of the function?
(-2, 4)
200
What is the y-intercept of the following quadratic?
f(x)= -4x2-2x+7
(0,7)
200
What is the vertex of the following quadratic?
g(x)=(x-4)2+7
(4, 7)
200
What are the root(s) of this quadratic?
y=(x+5)(x-2)
(-5, 0) and (2, 0)
200
What is the transformation from the parent function to the function g(x)=x2 -6?
shifted down 6
300
What is the domain and range of the parabola?
Domain: all real numbers
Range: y≥ -2
300
Does the following graph have a max or min?
y= x2+3x-6
min
300
What is the vertex of the following quadratic?
y= -(x+2)2
(-2, 0)
300
What is the factored form of a quadratic with roots: x=-1 and x=7
y= (x+1)(x-7)
300
What are the 3 other words for x-intercepts of a parabola?
roots, solutions, zeros
400
What are the solutions to the function?
(-3, 0) and (2, 0)
400
What are the roots of the following quadratic?
y= x2+3x-4
(-4,0) (1,0)
400
What is the vertex and axis of symmetry of the following quadratic?
y= -3(x+1)2-8
Vertex: (-1, -8)
aos: x= -1
400
What is the vertex of this parabola?
h(x)=(x+5)(x-1)
(-2, -9)
400
Which equation represents this graph?
a.) f(x)= x2-x-6
b.) f(x)=-x2+x-6
c.) f(x)=x2+x-6
d.) f(x)= x2+3x-6
c.) f(x)=x2+x-6
500
What are the following characteristics of the function?
Vertex, axis of symmetry, domain and range?
Vertex:(3, 1)
aos: x= 3
domain: all real numbers
range: y≥ 1
500
Which function has a vertex of (-1, 7)?
a.)y= x2-2x+6
b.) y=x2+4x+12
c.) y= -x2-2x+6
d.) y= -x2+3x+7
c.) y= -x2-2x+6
500
What is the range of y= x2+2x-10?
a.)x>11
b.)y≥-11
c.)x≤-1
d.)y ≤ -11
y ≥-11
500
What are the root(s) of this quadratic?
y=(x-3)2
(3, 0)
500
What is the transformation from g(x)=x2 to
h(x)=g(x-2)+4
a.) Left 2, Down 3
b.) Right 5, Up 2
c.) Right 2, Up 4
d.) Left 2, Down 4
c.) Right 2, Up 4