In: Advanced Math
For the following exercises, use the given information about the polynomial graph to write the equation.
Degree 3. Zeros at x = 4, x = 3, and x = 2. y-intercept at (0, −24).
Consider the information provided in the exercise,
The degree is 3 and zeros are at x = 4, x = 3, x = 2.
Therefore, combine all this
f(x) = a(x – 4)(x – 3)(x – 2)
To determine stretch factor a, put y intercept (0, -24) in the equation.
-24 = 1(0 – 4)(0 – 3)(0 – 2)
-24 = -24a
a = 1
Hence, the equation is f(x) = (x – 4)(x – 3)(x – 2).
Hence, the equation is f(x) = (x – 4)(x – 3)(x – 2).