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Use the parabola tool to graph the quadratic function f(x)=−(x−3)(x+1) .

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Use the parabola tool to graph the quadratic function f(x)=−(x−3)(x+1) . Graph the parabola by first plotting its vertex and then plotting a second point on the class=

Answer :

joseaaronlara

Answer:

The answer to your question is Vertex (1, 4)    Point (0,3)

Step-by-step explanation:

Data

f(x) = -(x - 3)((x + 1)

Process

1.- Expand

       f(x) = - (x² - 3x + x - 3)

- Simplify

        f(x) = -(x² - 2x - 3)

-Complete the perfect square trinomial

        - y = x² - 2x - 3

        - y + 3     = x² - 2x    

        - y + 3 + (1)²   = x² - 2x + (1)²

        -y + 3 + 1 = x² - 2x + 1

        - y + 4 = (x - 1)²

          y - 4 = -(x - 1)²

Determine the vertex

         V = (1 , 4)

-Solve for y

          -y = (x - 1)² - 4

            y = -(x - 1)² + 4

Determine a point

When x = 0

           y = -(0 - 1)² + 4

           y = -(-1)² + 4

           y = -1 + 4

           y = 3

Point (0, 3)

See the picture below

${teks-lihat-gambar} joseaaronlara

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