8.1 - 8.2
List all of the classifications for the following number:
-8
Real, Rational, Integer
What are the roots/zeros of the following equation?
y=(x+7)(x-2)
x=-7, x=2
What number would you add to both sides of the equation in order to complete the square (after setting up the equation)?
2x^2-12x-7=6
+36
The graph of a quadratic equation.
What is a parabola?
What happened to negative Bob?
He was unsure if he wanted to go to the radical party. He decided to be square and missed out on four awesome chicks!
Find the solution when x = -2
3x^2+2x-1
7
Expand the following:
(x+4)^2
x^2+8x+16
Rewrite in general form:
(x-4)^2=-3
x^2-8x+19
A number expressed in the form a or -a for some whole number a.
What is an integer?
What is the vertex of the following function?
y=2(x+5)^2-9
(-5,-9)
Find y-intercept of the following equation:
3x^2+2x-1
-1
Factor the following (+100 for finding the roots/zeros):
y=x^2+6x+8
Roots: -2,-4
y=(x+2)(x+4)
What is...
(x^4-2x^3-x^2-4x+8)-(x^2_6x-12)
x^4-2x^3-2x^2-10x+20
The point where the graph changes direction from increasing to decreasing or from decreasing to increasing.
What is the vertex?
How many roots/solutions does the equation have?
x^2-8x+19
No real roots
Give all classifications of the following number:
sqrt9
Real, Rational, Integer, Whole, and Natural
Solve for x.
1/3 (x+5)^2+4=12
x=-5+-sqrt(24)
Solve the quadratic equation (find the roots/zeros) using the quadratic formula:
4x^2+12x+9=0
x=-3/2
Name the values of the constant and leading coefficient:
x^2+4x-6
Constant: -6
Leading Coefficient: 1
Give all classifications of the following number:
sqrt(-8)
Not Real
Find the equation of the axis of symmetry and the coordinates of the vertex for the parabola given by the function.
y=x^2+4x-5
With x-intercepts: x= -5, x=1
x= -2; (-2,-9)
Convert to general form:
y=-4(x+1)^2-2
y=-4x^2-8x-6
Rewrite in vertex form:
y=x^2-8x+6
y=(x-4)2-10
A number that is equal to the square of an integer, or a polynomial that is equal to the square of another polynomial.
What is a perfect square?
Find the product in general form:
(2x+9)(x^3+x^2-5x+6)
2x^4+11x^3-x^2-33x+54