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:

Answer

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Answer

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

Steps

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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