A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Identify the domain of the equation y = x2 - 6x + 1.
x ≤ 3, x ≥ - 8, x ≥ - 2, All real numbers
The domain of a function is all real numbers except where the function is undefined. The domain is (∞, -∞).
We can write the equation in the vertex form of a parabola as a(x - h)2 + k. The vertex of parabola is (h, k).
By using the method of completing the square we get,
y = x2 - 6x + 1
= (x - 3)2 + (-8)
Since the value of a is positive, the graph of the parabola will open upwards.
The vertex of parabola is (3, -8).
Hence, the domain of the graph y = x2 - 6x + 1 is all real numbers
The domain of the parabola is (3, -8) and range (-8, ∞).
Identify the domain of the equation y = x2 - 6x + 1.
Summary:
The domain of the graph y = x2 - 6x + 1 is (-∞, ∞) (all real numbers) and the range is (-8, ∞).