Search
Create
Log in
Sign up
Log in
Sign up
5.2 Combined to be edited
STUDY
Flashcards
Learn
Write
Spell
Test
PLAY
Match
Gravity
Terms in this set (20)
What happens to the parabola if a>0?
The parabola opens up
What happens to the parabola if a<0?
The parabola opens down
What happens to the parabola if lal >1?
The parabola is narrower than y=x²
What happens to the parabola if lal <1?
The parabola is wider than y=x²
In the standard form equation, what variable represents the y-intercept?
c
What is the graphing shortcut?
1-3-5
What is the difference between quadratics in vertex form and quadratics in standard form?
Vertex: y = a(x - h)²+k {5.1}
Standard: y = ax² + bx + c {5.2}
How do you find the Value of a quadratic in Standard form?
First, find the x-value (-b/2a), then plug it in the quadratic equation. If the [a] is positive in the equation, it will have a minimum value; if it is negative, it will have a maximum value.
How do you change the equation, f(x) = 3(x + 2)^2 - 8 in standard form?
1. Square Root
~ f(x) = 3(x + 2)^2 - 8
~ f(x) = 3(x + 2)(x + 2) - 8
2. FOIL
~ f(x) = 3(x + 2)(x + 2) - 8
~ f(x) = 3(x^2 + 2x + 2x + 4) - 8
3. Distribute
~ f(x) = 3(x^2 + 2x + 2x + 4) - 8
~ f(x) = 3x^2 + 6x + 6x + 4 - 8
4. Add Terms
~ f(x) = 3x^2 + [6x + 6x] + [4 - 8]
~ f(x) = 3x^2 + 12x - 4
When would the parabola open upward?
If [a] is positive
When does a quadratic function have a minimum value?
When the function opens up
What is the formula to finding the axis of symmetry and the x value?
x= -b/2a
How do you tell whether the quadratic function has minimum value or maximum value?
If [a] in the function is a negative number, then the parabola will curve down. The function has a minimum value when [a] is positive. It has a maximum value when [a] is negative.
If the curve points down it has a what value?
Minimum value
If |a|>1, would the parabola be wider or narrower than the parent function?
Narrower
What is the standard form equation?
ax²+bx+c
In standard form, if a is less than 0, which way does the parabola open up?
The parabola opens down if the a is negative.
In standard form, can a = zero
No
If the curve points down will it have a maximum or a minimum?
It will have a maximum value
2x²+x+2 has a ______________________ value
Minimum value
YOU MIGHT ALSO LIKE...
Numbers & Animals Vocabulary | Everyday Traditional Mandarin Chinese
Chineasy
$4.99
STUDY GUIDE
8A. Applications of Quadratic Functions - Key Words
34 Terms
j_mccracken
Quadratic Functions (2.1)
11 Terms
Ussopp
final review MA 141 Calc
55 Terms
tlmerith
OTHER SETS BY THIS CREATOR
5.5 Combined to be edited
24 Terms
KadenaHighStudyGuide
5.4 Combined to be edited
61 Terms
KadenaHighStudyGuide
5.3 Combined to be edited
67 Terms
KadenaHighStudyGuide
5.1 Combined to be edited
22 Terms
KadenaHighStudyGuide
;