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Why is this the graph of the function f(x)=4x^2-8x+7?

Why is this the graph of the function f(x)=4x^2-8x+7?-example-1
User Gurghet
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1 Answer

7 votes

Answer:

I'll be referring to this form: ax^2-bx+c

The 4x^2 is the rate that it goes up. If a is greater than 1, then that means the graph gets narrower from the parent function x^2. You can clearly see that in that graph.

The c is always the y-intercept. In this case, you can see that it's 7. The graph clearly shows 7 as it's y-intercept as well, so that matches well.

Sadly, I do not know how to compare the 8x into this situation without a calculator, but that information should be quite enough to see how that function is in that graph.

User Person
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