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Write an equation of the parabola that has the same shape as the graph of $f(x)=3 x^{2}$ or $g(x)=-3 x^{2}$ but with the given maximum or minimum. Maximum $=4$ at $x=-2$

$$f(x)=-3(x+2)^{2}+4$$

Algebra

Chapter 11

Quadratic Equations and Functions

Section 3

Quadratic Functions and Their Graphs

Equations and Inequalities

Quadratic Functions

Complex Numbers

Rational Functions

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the problem 53 53 in which we need to choose down F X equal to three Xs square and G X equal to minus three Xs square and given condition is that condition is that maximum equal to full at X equal to minus two. So the graph we'll look like since this is maximum at full X equal to minus two, it means somewhere takes must be minus two comma four and sensitive maximum so opening. But parabola must be done right this is And for this a should be always negative. So we'll take G X equal to minus tree excess square at bearing function. So we have G X equal toe minus three. Excess squad minus three x squared. No, if he I just All right. The question of parabola which looks like this with Vertex changes to minus two common for it will become. Let us write it at X minus three x minus at Seoul Square Bless K. Overhead at Kay is our new Vertex tojust Blufgan at equal to minus two. OK, called the four over here. My industry X minus, minus two whole squirt plus four. So our answer must be my industry X plus two whole squad less for this should be Oh, uh, answer. Thank you.

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