quadratic functions & transformations
standard form of quadratic function
modeling with quadratic functions
factoring quadratic functions
philip/alexis's choice
100
translate y=3(x+2)^2
translate 2 units left stretch by a factor of 3
100
What is standard form of a quadratic equation?
ax^2+bx+c=o
100
what is this form: y=a(x-p)(x-a)
What is intercept form?
100
x=3 in (x-3)(x-4)=0
0=0
100
y=-0.08(x-0.04)^z+1.2
translate .04 units right compress by a factor of .08 reflect across x axis translate 1.2 units up
200
y=(x-2)^2+4
-no reflection -vertical shift up 4 -horiztonal shift right 2 -no vertical comp/stretch
200
What is a,b and c of the following equation 2x^2+5x+3=0
A=2 B=5 C=3
200
write in standard form y=-(x+4)(x-9)
-x^2+5x+36
200
9r^2 − 5r − 10
Not factorable
200
y=x^2-8x+19
y=(x-4)^2+3
300
describe the transformation needed to obtain the graph of g(x) from the graph of f(x) f(x)= x^2+1 g(x)= 3/7x^2-3
stretch the graph of f(x) horizontally and translate the graph down.
300
y= x^2-4x+1
vertex is minimum (2,-3) AOS= x=1 range= ≤4
300
What is the quadratic population model?
p(t)=po+bt+at^2
300
2b^2+ 17b + 21
(2b + 3)(b + 7)
300
For what values of b is the expression factorable? x^2+ bx + 12
13, 8, 7, −13, −8, −7
400
f(x)=2(x+3)^2-4
-no reflection -vertical shift down 4 -horizontal shift left 3 -vertical stretch by 2
400
y=-x^2-6x-10
vertex is maximum (-3, -1) AOS= -3 range = y≤-1
400
3x^2-6x+11
write in standard form y=3(x-1)^2+8
400
m^2 − 9m + 8
(m − 1)(m − 8)
400
x^2− 7x − 18
(x − 9)(x + 2)
500
y=-(x-4)^2-5
-reflection over x axis - vertical shift down 5 -horizontal shift right -no vertical comp/stretch
500
y=-x^2+2x=3
vertex is maximum of (1,4) AOS= x=1 range = ≤4
500
write a quadratic function in intercept form for a parabola with x intercepts (1,0) & (4,0) that passes through the point (2,-6)
-6=a(2-1)(2-4) -6=a(1)(-2) -6=-2a 3=a y=3(x-1)(x-4)
500
5p^2− p − 18
(5p + 9)( p − 2)
500
30n^2b − 87nb + 30b
3b(2n − 5)(5n − 2)
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