Functions
Parabolas
Parabolas 2
100
What are two ways to identify a function?
1. Mapping Diagrams
2. Vertical Line Test
100
What is the maximum or minimum point on a parabola? And what is it modeled by?
vertex -- (h,k)
100
What transformation does the k-value of the equation represent?
vertical translation
200
What are the independent variables?
The x-values.
200
When would there be no zeros on a parabola? Explain both scenarios.
1. when the vertex is above the x-axis and the parabola opens up.
2. when the vertex is below the x-axis and the parabola opens down.
200
What does the b values represent?
Horizantal stretch by a factor of 1/b.
300
What is a Function?
A function is a relation where for every x-value there is only one y-value.
300
what is the axis of symmetry?
f(x)=-3 (x-3)^2 +9
x = 3
300
What happens if the a value is negative?
reflection over the x-axis, the parabola's direction of opening is down.
400
Is this a Function?
No this is not a function; when x= 5 y= 4 AND 7
400
what is the vertex:
f(x)=(x+2)(x-4)
(1,9)
400
What happens if the b values is negative?
Nothing will happen. The b value is always in bracets and squared.
500
What is wrong with this anwer?
State the Domain and Range:
(-3, 1) (-5, 7) (4, 3) (5, 1)
Domain= (-3, -5, 4, 5)
Range= (1, 1, 7, 4)
1. did not use curly brackets
2. not written in numerical form: -3, -5,....
3. repeats number 1, 1,...
What it should look like:
{-5, -3, 4, 5}
{1, 7, 4}
500
what is the equasion of the parabola in factored form if the y-intercept is (0,-120) and the zeros are (-5,0) and (6,0)?
f(x)=4(x+5)(x-6)