Quadratics
Put the following into standard form:
y=-5+2x^2-2x
y=2x^2-2x-5
Factor the following by GCF:
12x+30
6(2x+5)
Solve by factoring:
x^2-8x = 0
x=8 or x = 0
Fill in the blanks with the same two numbers so that ___ • ___ = 15 and ____ + ____ = 8
5 and 3
x2 + 8x + 16
This is an example of _______________________
Perfect Square Trinomial
What is the name of a quadratic graph?
Parabola
Factor the following by GCF:
-40x^4-16x^2
-8x^2(5x^2+2)
Solve by factoring:
x^2+2x-76=4
x=8
x=-10
Fill in the blanks with the same two numbers so that ___ • ___ = -30 and ____ + ____ =-1
-6 and 5
x2 - 64
This is an example of ____________________.
Difference of Squares
Does this quadratic have a minimum or maximum?
f(x)=-3x^2 + 5x - 10
Max
Factor the following by GCF:
39x^2y^7z^3+30xy^3
3xy^3(13xy^4z^3+10)
Solve by factoring:
3x^2-10x+7=0
x=7/3
x=1
Fill in the blanks with the same two numbers so that ___ • ___ = 36 and ____ + ____ =-13
-4 and -9
4x2 + 100
This is an example of ____________________.
GCF
What does an equation have to contain to be classified as a quadratic function?
x^2
Factor the following:
x^2+9x+20
(x+4)(x+5)
Solve using the quadratic formula:
6x^2+x-15=0
x=3/2
x=-5/3
Fill in the blanks with the same two numbers so that ___ • ___ = -180 and ____ + ____ = 41
-15-7i
Finish the pattern: (a2 - b2) = _________________
(a + b)(a - b)
Draw the graph of the parent quadratic function and give its equation
y=2x^2-28x+112
Graph drawn on white board.
Equation: y = x^2
Factor:
2x^2-7x+5
(2x-5)(x-1)
Solve using the quadratic formula:
9x^2+12x+1=-3
x=-2/3
Fill in the blanks with the same two numbers so that ___ • ___ = -100 and ____ + ____ = -15
-20 and 5
Finish the pattern: (a2 -2ab + b2) = ______________
(a - b)2