Quadratics in Vertex Form
Quadratics in Standard Form
Solving Quadratics by Factoring
GCF and Difference of Squares
Solving Quadratics by Square Roots
100
What is the vertex of the following function?
f(x)=(x-4)^2-5
(4,-5)
100
What is the equation for the axis of symmetry (the x-value of the vertex)?
x=(-b)/(2a)
100
Factor the following:
x^2-8x-20
(x+2)(x-10)
100
Factor the following:
x^2-25
(x+5)(x-5)
100
Simplify the following:
-3sqrt(15)*4sqrt(3)
-36sqrt(5)
200
What is the axis of symmetry of the following function?
f(x)=2(x+3)^2-9
x = -3
200
Find the axis of symmetry, vertex, and y-int of the following function:
f(x)=-x^2+4x+5
Axis of symmetry: x=2
Vertex: (2,9)
Y-int: (0,5)
200
Factor the following:
3x^2+11x+6
(x+3)(3x+2)
200
Factor the following:
36x^2-49
(6x+7)(6x-7)
200
Simplify the following:
5/(4-2sqrt(3))
(20+10sqrt(3))/4
300
Tell whether the following function has a min or max and state the value.
f(x)=-(x+2)^2+7
Max of 7
300
Find the axis of symmetry, vertex, and y-int of the following function:
f(x)=-1/2x^2+2x-3
Axis of symmetry: x=-2
Vertex: (-2,-5)
Y-int: (0,-3)
300
DAILY DOUBLE!!!
Factor the following:
6x^2-11x-10
300
Factor the following (hint: take out the GCF first)
12x^2+38x-14
2(2x+7)(3x-1)
300
Solve the following equation:
x^2/8+6=10
x=+-4sqrt(2)
400
Tell whether the following function has a min or max and state the value.
f(x)=3(x-2)^2-12
Min of -12
400
Tell whether the following function has a minimum or maximum value and state the value.
(Hint: it's the y-value of the vertex)
f(x)=2x^2+8x+7
Minimum Value of -1
400
Solve the following equation and sketch the graph.
x^2+9x+14=0
x=-2 and x=-7
400
Factor the following (hint: take out the GCF first)
5x^3+40x^2+75x
5x(x+5)(x+3)
400
Solve the following equation:
1/5(x+4)^2=10
x=-4+-5sqrt2
500
Graph the following function and state the vertex and axis of symmetry. Hint: use the 1-3-5 method to graph.
f(x)=2(x-3)^2-4
Vertex: (3,-4)
Axis of symmetry: x=3
500
Put the following quadratic equation in standard form.
f(x)=(x-3)^2+2
f(x)=x^2-6x+11
500
Solve the following equation and sketch the graph.
5x^2-28=31x
x=-4/5 and x=7
500
Find the zeros of the function and sketch the graph.
f(x)=5x^2-15x-270
The zeros are x=9 and x=-6
500
Solve the following equation:
4(x-6)^2+20=120
x=1, x=11