Quadratic
Properties
Properties
Domain & Range
R0XS
Quadratic
Forms
Forms
Transformations
100
Does the function open up or down?
3x^2-x-2
Up
100
What is the domain of the quadratic function shown?
All Real Numbers
100
What are the solutions of the function graphed below?
x=-2,3
100
What is the standard form of quadratics?
ax^2+bx+c
100
The graph of the quadratic parent function y=x^2 was transformed to y=(x+2)^2 . Describe how the parabola changed.
Shifted 2 units to the left.
200
Does the function open up or down?
-(-2x^2+3x-1)
Up
200
What is the range of y=-x^2-2x+3 ?
y≤4
or
all real numbers less than or equal to 4
200
How many zeros does the function have?
x^2-3x+2
2
200
Label a, b, & c for the following standard form quadratic:
f(x)=-1/2x^2+3/2x-2
a = -1/2
b = 3/2
c = -2
200
The graph of the quadratic parent function y=x^2 was transformed to y=x^2-5 . Describe how the parabola changed.
The parabola shifted 5 units down.
300
What is the y - intercept of the function below
-1/2x^2+x-3
(0,-3)
300
What is the range of the quadratic function shown in the table?
y ≥ -8
Or
All real numbers greater than or equal to -8
300
What are the zeros of the function?
(x+3)(x+5)
x = -5,-3
300
What are the x - intercepts of the following quadratic?
(x-2)(3x+1)
x = -1/3, 2
300
The graph of the quadratic parent function y=x^2 was transformed to y=(x-4)^2+3 . Describe how the parabola changed.
The parabola was shifted 4 units to the right and 3 units up.
400
What is the equation of the axis of symmetry for the function graphed below? 
x=2
400
What are the domain and range of g(x)=-1/4(x-17)^2+61 ?
Domain: All Real Numbers
Range: g(x) ≤ 61
400
What are the roots of the function?
(3x+7)(2x-5)
x=-7/3,5/2
400
What is the vertex of the following quadratic?
3(x+1)^2+3
(-1,3)
400
The graph of the quadratic parent function f(x)=x^2 was transformed to f(x)= 1/4x^2 . Describe how the parabola changed.
The parabola was stretched horizontally.
OR
The parabola became wider
500
What is the vertex of the function
3x^2+6x+2
(-1,-1)
500
A golfer hit a golf ball from a tee box that is 6 yards above ground. The graph shows the height of the golf ball above ground as a function of the horizontal distance of the ball from the tee box. What is the domain of the function for this situation?
0 ≤ x ≤ 230
500
What are the roots of the function?
3x^2+5x-2
x=-2,1/3
500
Which quadratic function in vertex form can be represented by the graph that has a vertex at (0, -7) and passes through (-12, 11)? (HINT: Solve for a first)
Vertex Form: y=a(x-h)^2+k
y=1/8(x-0)^2-7
500
The graph of the quadratic parent function y=x^2 was transformed to y=-4(x+2)^2+3 . Describe how the parabola changed.
The parabola was:
flipped over the x-axis
Made narrower
shifted 2 units left
shifted 3 units up