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