Help With Proving Quadratic Functions in a Graph

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
Ccamm
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Help With Proving Quadratic Functions in a Graph

Postby Ccamm » Mon May 06, 2013 4:02 pm

I need help just starting off this proof then I should be able to do the rest. The proof is to prove y=ax^2 algebraic, y is the height in the graph and x is the x point of the graph. And a is the fatness of the parabola. The only problem is I'm having difficulty trying to start of this algebraic proof.

jg.allinsymbols
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Re: Help With Proving Quadratic Functions in a Graph

Postby jg.allinsymbols » Mon May 06, 2013 9:36 pm

Could you use the Distance Formula? The equation for a parabola is derived using the distance formula. You might then use the distance formula again to show that a point on the graph above the horizontal line containing the vertex is the same as the value of the function. This seems redundant.

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stapel_eliz
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Re: Help With Proving Quadratic Functions in a Graph

Postby stapel_eliz » Mon May 06, 2013 10:27 pm

Ccamm wrote:The proof is to prove y=ax^2 algebraic, y is the height in the graph and x is the x point of the graph. And a is the fatness of the parabola. The only problem is I'm having difficulty trying to start of this algebraic proof.

What does your book (or instructor) mean by proving that "y = ax^2" is "algebraic"?

jg.allinsymbols
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Re: Help With Proving Quadratic Functions in a Graph

Postby jg.allinsymbols » Tue May 07, 2013 2:59 am

Ccamm wrote:I need help just starting off this proof then I should be able to do the rest. The proof is to prove y=ax^2 algebraic, y is the height in the graph and x is the x point of the graph. And a is the fatness of the parabola. The only problem is I'm having difficulty trying to start of this algebraic proof.


What is the exact problem description, word-for-word? Is a picture, graph, or diagram included?


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