SOLUTION: Questions from a worksheet: One form of a quadratic function is f(x)= a(x-b)^2 + c. Use this for the following questions. 1. If you wanted to shift the graph of the functio

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Questions from a worksheet: One form of a quadratic function is f(x)= a(x-b)^2 + c. Use this for the following questions. 1. If you wanted to shift the graph of the functio      Log On


   

Question 174428: Questions from a worksheet:
One form of a quadratic function is f(x)= a(x-b)^2 + c. Use this for the following questions.

1. If you wanted to shift the graph of the function down, what would you do?
A. increase a
B. decrease c
C. increase c
D. decrease a

2. If you wanted to shift the graph of the function right what would you do?
A. increase b
B. decrease b
C. increase c
D. decrease a

3. If you wanted to make the parabola narrower, what would you do?
A. increase a
B. decrease b
C. increase c
D. decrease a

This is a different question:
1. If f is a polynomial of degree 2 and g is a polynomial of degree 3, what is the degree of f x g?


Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One form of a quadratic function is f(x)= a(x-b)^2 + c. Use this for the following questions.
1. If you wanted to shift the graph of the function down, what would you do?
A. increase a
B. decrease c
C. increase c
D. decrease a
Ans: B
------------------
2. If you wanted to shift the graph of the function right what would you do?
A. increase b
B. decrease b
C. increase c
D. decrease a
Ans: A
3. If you wanted to make the parabola narrower, what would you do?
A. increase a
B. decrease b
C. increase c
D. decrease a
Ans: A
This is a different question:
1. If f is a polynomial of degree 2 and g is a polynomial of degree 3, what is the degree of f x g?
Ans: 2+3 = 5
================
Cheers,
Stan H.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One form of a quadratic function is f(x)= a(x-b)^2 + c. Use this for the following questions.
The best way to learn this is use a graphing calc like Ti83
Use this example
Enter
y1 = 2(x-3)^2 + 4; Use this equation as a reference
y2 = 2(x-3)^2 + 4; Make changes in a, b, c on this equation
Observe what changes in a, b, c do to the qraphs
Should look like the graphs below
:
1. If you wanted to shift the graph of the function down, what would you do?
;
B. decrease c: c=2: y2 = 2(x-3)^2 + 2
+graph%28+300%2C+200%2C+-4%2C+8%2C+-4%2C+20%2C+2%28x-3%29%5E2%2B4%2C+2%28x-3%29%5E2%2B2%29+
Ref equation: purple
shifted equation: green
:
:
2. If you wanted to shift the graph of the function right what would you do?
:
B. decrease b: b=-5 2(x-5)^2 + 4
+graph%28+300%2C+200%2C+-4%2C+8%2C+-4%2C+20%2C+2%28x-3%29%5E2%2B4%2C+2%28x-5%29%5E2%2B4%29+
:
:
3. If you wanted to make the parabola narrower, what would you do?
:
A. increase a: a=5; 5(x-3)^2 + 4
+graph%28+300%2C+200%2C+-4%2C+8%2C+-4%2C+20%2C+2%28x-3%29%5E2%2B4%2C+5%28x-3%29%5E2%2B4%29+
:
:
This is a different question:
1. If f is a polynomial of degree 2 and g is a polynomial of degree 3, what is the degree of f x g? 5; You multiply polynomials, add the highest exponents