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Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee-example-1
User Dguan
by
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1 Answer

2 votes

Answer:

f(x) = 3(x +1)² +2

Explanation:

You want the equation in vertex form of the parabola 3x² after its vertex is translated to (-1, 2).

Vertex form equation

The given form is the "vertex form" of the equation for a parabola. That is, in the form ...

f(x) = a(x -h)² +k

the value of 'a' is the leading coefficient, the scale factor, and the values of h and k are the x- and y-coordinates of the vertex.

Application

Given that the scale factor of the desired parabola is a=3, and the desired vertex is (h, k) = (-1, 2). we can fill in these values in the equation to get ...

f(x) = 3(x -(-1))² +2

f(x) = 3(x +1)² +2

User TwiN
by
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