Chapter 4 vocab Flashcards
chapter 4 vocab
Is y = +x^2 a minimum or the maximum?
Minimum
Is y = -x^2 a minimum or the maximum?
Maximum
The parabola is going up as a “U” is this a positive or a negative?
Positive
The parabola is going up as a “U” is this minimum or a maximum
minimum
The parabola is going down as a “n” is this minimum or a maximum
maximum
The parabola is going down as a “n” is this a positive or a negative?
negative
what form is this y = a(x - h)^2 + k
vertex form of a quadratic function
y = ax^2 + bx +c is what form
standard form of a quadratic
-b/2a is what formula ( -b over 2a )
vertex formula
-b+-√b^2-ab /2a is what formula (-b+-√b^2-ab over 2a)
Quadratic formula
in a vertex form if the a is negative (-a) what’s its transformation
reflection over x axis
in a vertex form if the a is more then 1 (a > 1) what’s its transformation
vertical stretch
in a vertex form, if the a is less then 1 but greater then 0 (0<a<1) what’s its transformation
vertical compression
in a vertex form, if the h is negative (-h) what’s its transformation
shift right
in a vertex form, if the h is positive (h) what’s its transformation
shift left
in a vertex form, if the k is negative (-k) what’s its transformation
shift down
in a vertex form, if the k is positive (k) what’s its transformation
shift up
what is √-81
i√81= +- 9i
what is “i”
√-1
what is i^2
-1
if you get i^2 change it to its opposite change 12i^2
-12
5 - 7i + 2 + 4i
7 -3i
-5i * 3i
-15i^2 = 15
> 0
x < x1 or x > 3
(6i) (4i) (-2i)
48i
when dividing you…
get I out of the denominator
< 0
x1< x <x2
i^11
-1i
d < 0
two imaginary solution
d = 0
one rational solution
d > 0
non perfect squares with 2 irrational solutions or perfect squares with 2 rational solution