Problem

3. Use the function $f(x)=(x-4)(x+2)$. a. Write down both zeroes of the function. d. Sketch a graph of the function. Clearly label the zeroes, the axis of symmetry, and the vertex. Answer: b. Write the equation for the axis of symmetry. Answer: c. Write the ordered pair for the vertex. Answer:

Solution

Step 1 :Find the zeroes of the function: \(f(x) = (x - 4)(x + 2)\)

Step 2 :Zeroes: \(-2, 4\)

Step 3 :Find the axis of symmetry: \(x = \frac{-2 + 4}{2}\)

Step 4 :Axis of symmetry: \(x = 1\)

Step 5 :Find the vertex by plugging the axis of symmetry value into the function: \(f(1) = (1 - 4)(1 + 2)\)

Step 6 :Vertex: \((1, -9)\)

Step 7 :\boxed{\text{Final Answer:}}

Step 8 :Zeroes: \boxed{-2, 4}

Step 9 :Axis of symmetry: \boxed{x = 1}

Step 10 :Vertex: \boxed{(1, -9)}

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Source: https://solvelyapp.com/problems/16987/

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