Standard Form
Factored Form
Vertex Form
Solving Using Square Roots
Rando's
100
Identify the values of a, b, and c from the following equation.
y=-3x^2+4x-7
a=-3 b=4 c=-7
100
Identify the x-intercepts (as points) from the following equation.
y=2(x-4)(x+3)
(4,0) and (-3,0)
100
Find the axis of symmetry of the following quadratic.
y=-2(x+4)^2+9
x=-4
100
Solve.
x^2=121
x=+-11
100
Would the vertex of the following quadratic be a maximum or a minimum?
y=-3x^2+9x-11
maximum, parabola opens down
200
Create a quadratic equation in standard form that opens down and has a y-intercept of:
(0,12)
negative a value
b doesn't matter
y=ax^2+bx+12
200
What is the y-intercept (as a point) of the following quadratic?
y=(x+3)(x-5)
(0,-15)
200
Create a quadratic equation in vertex form that opens up and has a vertex of:
(5,-11)
positive a value
y=a(x-5)^2-11
200
Solve.
x^2+35=10
no solution, cannot take square root of a negative number
200
What would
x^2
have to be equal to in order for there to be ONE SOLUTION.
zero,
x^2=0
x=0
300
Find the axis of symmetry of the following equation.
y=-2x^2-8x+9
x=-2
300
What is the axis of symmetry of the following quadratic?
y=-(x+9)(x-3)
x=-3
300
What is the name of the process to turn a standard form quadratic into a vertex form?
Completing the Square
300
Solve. Do not give a decimal answer.
-3x^2+42=6
x=+-sqrt12=+-2sqrt3
300
What would be the new "c" value when completing the square on the following quadratic?
x^2-8x+17=0
16
400
What is the vertex of the following quadratic?
y=3x^2-6x+8
(1,5)
400
What is the vertex of the following quadratic?
y=(x-8)(x+2)
(3,-25)
400
Find the y-intercept (as a point) of the following quadratic.
y=-2(x-3)^2+11
(0,-7)
400
What feature(s) on the graph of a quadratic are being found when solving a quadratic equation?
x-intercepts
400
Factor the following perfect square trinomial.
x^2+12x+36
(x+6)^2
500
Change the following standard form quadratic into vertex form:
y=x^2-4x+7
y=(x-2)^2+3
500
Change the following factored form quadratic into standard form:
y=2(x-3)(x+2)
y=2x^2-2x-12
500
Create the equation of a quadratic in vertex form that does NOT have any x-intercepts.
answers vary....a value must be opposite of the side of x-axis that vertex lies in.
500
Solve.
3(x+5)^2-7=5
x=+-2-5=-3 or -7
500
Match the form of a quadratic with the information that can be pulled from the equation.
factored - x-intercepts
standard - y-intercept
vertex - AoS and vertex