What is the first step when solving an absolute value equation?
Make sure the absolute value is isolated (alone/by itself)
What is the standard form of a quadratic equation?
y=ax2+bx+c
The range of a graphed quadratic equation is in respect to what variable?
Y variable
What is the equation for the most simplistic quadratic equation?
(Parent Function)
y=x2
When graphed, a quadratic equation creates a U-shaped curve called a _________
Parabola
True or False?
If I take the absolute value of some number, it can produce a negative number...
False. You can never take the absolute value of a number and it be negative.
What is the formula for the axis of symmetry?
x=-b/2a
The domain of every quadratic equation is ... ?
all real numbers!
y=a(x-h)2+k
When the vertex is the lowest point , it is called a ___________
Minimum
Solve the equation below:
|x|= -6
No solution
Fill in the blank:
If 'a' is __________, then the parabola opens ____ like a :)
positive, up
If the parabola opens UP, what inequality would our range have?
Greater than or equal to
What is the axis of symmetry for the following quadratic equation?
y=-(x+2)2+7
x=-2
Fill in the blank:
h is the _______________ shift
k is the _______________ shift
h - horizontal shift
k - vertical shift
Solve the equation below:
|y| - 8 = -5
x = {-3, 3}
If we have a parabola that opens down :(, what type of vertex will we have?
(A minimum or a maximum)
Maximum
Does this parabola open up or down?
y=4x2-3x-9
UP
What is the vertex of the following quadratic equation?
y=(x+4)2-2
(-4,-2)
Write an equation for the following transformation:
translated 2 units right
y=(x-2)2
Solve the equation below:
|x - 12| - 3 = 11
x= {-2, 26}
Find the axis of symmetry for the following quadratic equation:
y=3x2-12x+5
x=2
True or False.
The axis of symmetry is the x coordinate of your vertex
TRUE
What is the transformation for the following quadratic equation?
u=(x+1)2-6
Left 1
Down 6
Write an equation for the following transformation:
reflected over the x-axis, then translated 5 units right and 2 units down
y=-(x-5)2-2