SOLUTION: Describe the values of a,h,k and movement of each graph of the ff. given quadratic functions: 1. y=(x-3)^2 2. y=)(x-1)^2+4 3. y=(x+3)^2-2 4. y=2(x-3)^2+2 5. y=-3x^2+5 I d

Question 784931: Describe the values of a,h,k and movement of each graph of the ff. given quadratic functions:
1. y=(x-3)^2
2. y=)(x-1)^2+4
3. y=(x+3)^2-2
4. y=2(x-3)^2+2
5. y=-3x^2+5
I don't really understand this topic, please help me with this. Thank you very much :)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Describe the values of a,h,k and movement of each graph of the ff. given quadratic functions:
1. y=(x-3)^2
2. y=)(x-1)^2+4
3. y=(x+3)^2-2
4. y=2(x-3)^2+2
5. y=-3x^2+5
***
The above are forms of equation for parabolas. There are 4 different configurations: a is a coefficient, (h,k)=(x,y) coordinates of the vertex
y=a(x-h)^2+k, a>0, parabola opens up
y=-a(x-h)^2+k, a<0, parabola opens down
x=a(y-k)^2+h, a>0, parabola opens right
x=-a(y-k)^2+h,a<0, parabola opens left
This problem only deals with the first 2 configurations
..
1. y=(x-3)^2, a=1, h=3, k=0,parabola opens up, vertex: (3,0)
2. y=(x-1)^2+4, a=1, h=1, k=4,parabola opens up, vertex: (1,4)
3. y=(x+3)^2-2, a=1, h=-3, k=-2,parabola opens up, vertex: (-3,-2)
4. y=2(x-3)^2+2, a=2, h=3, k=2,parabola opens up, vertex: (3,2)
5. y=-3x^2+5,a=-3, h=0, k=5,parabola opens down, vertex: (0,5)
RELATED QUESTIONS
quadratic functions of the form f(x)= a(x-h)2+k a) y= -2/3(x-3)2 b) y=5(x+4)2 i) (answered by solver91311)

please explain how the ff linear equation y=2+2x and we substitute different values of... (answered by longjonsilver)

which of the quadratic functions has the widest graph? a) y = 1/3 x^2 b) y = -4x^2 c) (answered by stanbon,advanced_Learner)

Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the... (answered by MathLover1)

Graph the quadratic equation after completing the given table of values y=x^2-5x+4... (answered by rchill)

Rewrite the quadratic functions in the form y=a(x-h)^2+k and identify a,h, and k 1.... (answered by nerdybill)

Determine whether each of the ff. Equations defines a linear function or not explain.... (answered by Alan3354)

Determine the quadratic function with the given information. Given: vertex (3,-7) and... (answered by josgarithmetic,MathTherapy)

An Introduction to Relations and Functions Complete each of the following tables of... (answered by solver91311)