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In Exercises 43-46, write an equation for the parabola in standard form.

$y=-2(x+2)^{2}+2$

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Quadratic Functions

Complex Numbers

Polynomials

Rational Functions

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Harvey Mudd College

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In mathematics, the absolu…

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In Exercises 43-46, write …

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In Exercises $43-54$ , fin…

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In Exercises 47-56, write …

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Write an equation of the p…

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in this problem, we see that the Vertex on the graph is the point minus two two, and the graft passes through the points. So they gave us some excellent Recep Sa's well. So let's recall a few things here. What is the standard form where the vortex is the point age? Kama K. In our case, here's our H and here's our cake So we could rewrite this X minus negative to that becomes X plus two plus que so if we could find the value of a, the problem is complete. And so let's use some of this information over here. Actually, we'LL just need one of these, so let's let's just use this one over here. Since your graph passes through the point minus one zero, that means f of negative on zero. However, we could also plug a negative one. It's far formula over here and you get a plus two. Now, from the given information, we know that this value is also equal to zero. So saw that equation for a and then use this value of A to plug it back into your F. So replace a with minus two, and then we have our final hand, sir, in the standard form

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