Table of value of y=3x(4-x) for the values of x from -2 to 6

Answer 1

To find the values of y for the given equation y=3x(4-x) with x ranging from -2 to 6, we can substitute each value of x into the equation and calculate the corresponding value of y.

When x = -2:
y = 3(-2)(4-(-2))
y = 3(-2)(6)
y = -36

When x = -1:
y = 3(-1)(4-(-1))
y = 3(-1)(5)
y = -15

When x = 0:
y = 3(0)(4-0)
y = 3(0)(4)
y = 0

When x = 1:
y = 3(1)(4-1)
y = 3(1)(3)
y = 9

When x = 2:
y = 3(2)(4-2)
y = 3(2)(2)
y = 12

When x = 3:
y = 3(3)(4-3)
y = 3(3)(1)
y = 9

When x = 4:
y = 3(4)(4-4)
y = 3(4)(0)
y = 0

When x = 5:
y = 3(5)(4-5)
y = 3(5)(-1)
y = -15

When x = 6:
y = 3(6)(4-6)
y = 3(6)(-2)
y = -36

Therefore, the values of y for the given equation y=3x(4-x) for the values of x from -2 to 6 are:
-36, -15, 0, 9, 12, 9, 0, -15, -36