Question 174428
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
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1. If you wanted to shift the graph of the function down, what would you do?
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B. decrease c: c=2: y2 = 2(x-3)^2 + 2
{{{ graph( 300, 200, -4, 8, -4, 20, 2(x-3)^2+4, 2(x-3)^2+2) }}} 
Ref equation: purple
shifted equation: green
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2. If you wanted to shift the graph of the function right what would you do?
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B. decrease b: b=-5 2(x-5)^2 + 4
{{{ graph( 300, 200, -4, 8, -4, 20, 2(x-3)^2+4, 2(x-5)^2+4) }}} 
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3. If you wanted to make the parabola narrower, what would you do?
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A. increase a: a=5; 5(x-3)^2 + 4
{{{ graph( 300, 200, -4, 8, -4, 20, 2(x-3)^2+4, 5(x-3)^2+4) }}} 
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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