12.1-12.2
What is the graph of Quadratic function?
Parabola
What were the points at which a quadratic function equation crosses the x axis?
0
What is the vertex formula in standard form?
y=ax2+bx+c
What are the two different kinds of variation?
Joint, combined
4(x-2)^2=16
What does X equal?
4
x2+3x=-5
x= 3±(√ -11)/2
How many real roots?
x2-6x+9
(Use b2-4ac)
1 real root
y=-x2+12x
use -b/2a=h
36
What is the equation x varies directly as y?
x=ky
4x2+10x+3
x=(-5± √22)/2
2 real roots
19X15 but want the area to increase to 357 adding the same number to each side.
Increase by 2 each. 21X17
x varies inversely as y
x=k/y
25x2-35X+10
Complete the square
x=(-35/2)± (√1185/2)
9x2+5x-2
x=(-5±√33)/2
determine the roots
x2-7x+10
5,2
x2-16x+39
Find the vertex
x=13, x=3
Joint variation- What a variable varies ___(1)___ as the product of ((2)one / two or more) variable(s)
(1) Feel in the blank
(2) Choose
(2) two or more
4x2-160x+160
Complete the square
x=40 ± 2√30
36x2+12x-3
x=-6±((√39)/6)
Determine the roots
-9x2+24x-15
-5,3
x2-7x-18=0
Find the vertex
What is a combined variation?
A variation when a variable varies directly as one variable and inversely as another