Transformations
Features
Solving
Different Forms
Evaluate Quads
Factoring and FOIL
100
What is the transformation to
f(x)=x^2+3
Shift up 3
100
What is the point where a parabola turns called
Vertex
100
Identify the solutions to the following function:
0 = (x+4)(x-4)
x=-4, x=4
100
What is this form called
y=ax^2+bx+c
standard form
100
rewrite the equation so that it is in standard form
−3x+5x2+15=-2
What is 5x2−3x+17=0?
100
Multiply: (x-3)(x+5)
x^2+2x-15
200
What is the transformation to
f(x)=(x-3)^2
shift right 3
200
When the vertex is the highest point, it is called the
maximum
200
Identify the solution(s) to the following function: (hint bx = 0x here)
0 = x2-121
What is x=11 and x=-11
200
What is this form called
y=a(x-h)^2+k
vertex form
200
Given f(x)=3x2+16
f(-4)
What is 64?
200
Multiply: (x-3)(x+3)
x^2-9
300
What are the transformations
f(x)=(x+2)^2-5
Shift left 2 and down 5
300
Find all intercepts for the parabola
y-intercept: y=-3
x-intercepts: x=-3, x=1
300
Solve the following quadratic equation
0 = x2-8x+16
What is x=4
300
Find a, b, and c in the equation
y=-2x^2+3x-5
a=-2
b=3
c=-5
300
Give f(x) = -x2-10x
f(-2)
What is 16?
300
Factor b2 + 8b + 7
(b + 7)(b + 1)
400
What are the transformations
f(x)=-(x-1)^2+2
reflection across x-axis, shift right 1 and up 2
400
Find the Axis of Symmetry for the parabola (answer must be an equation)
x=1
400
Solve this quadratics by factoring to find the x-intercepts.
x2 + 2x = 3
x = 1 or x = -3
400
Write this in standard form:
y=2(x-3)^2-4
y=2x^2-12x-14
400
Given f(x)=−3x2 +10x+2
f(-6)
What is -166?
400
Factor b2 + 16b + 64
(b+8)(b+8) or (b + 8)2
500
What are all the transformations
f(x)=-2(x+3)^2-6
reflection across the x-axis, vertical stretch by 2, shift left 3, shift down 6
500
What is the domain and range of the parabola
D: all real numbers
R: y>=-4
500
Use the quadratic formula to find the solutions to
2x^2+3x=2
x=1/2, x=-2
500
y=3x^2-6x+5
write this in vertex form:
y=3(x-1)^2+2
500
In standard form
−11−x2=5−5x2−2x
What is -4x2-2x+16 ?
500
Factor m2 + m − 90
(m − 9)(m + 10)