Question

Function by finding the key feat y=(x-1)²-4 Axis of Symmetry:

Answer 1

To find the axis of symmetry for the quadratic function y = (x - 1)² - 4, observe its vertex form, where the axis of symmetry is x = h. In this case, h is 1, so the axis of symmetry is the line x = 1.

Step-by-step explanation:

The question at hand involves finding the axis of symmetry of a quadratic function.

The general form of a quadratic equation is y = ax² + bx + c. The graph of a quadratic function is a parabola. The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. For the quadratic function in vertex form, y = (x - h)² + k, the axis of symmetry is x = h.

In the given function y = (x - 1)² - 4, it is already in vertex form, so identifying the axis of symmetry is straightforward. The value of h is 1, thus the axis of symmetry is the line x = 1.

Answer 2

The axis of symmetry can be found by identifying the vertex of the quadratic function. In this case, the axis of symmetry for the function y=(x-1)^2-4 is x=1.

Step-by-step explanation:

The axis of symmetry can be found by identifying the vertex of the quadratic function. In this case, the function is y=(x-1)²-4. The vertex of a quadratic function in the form y=ax^2+bx+c is given by the formula x=-b/(2a). Applying this formula to the given function, we have x=1.

Therefore, the axis of symmetry for the function y=(x-1)²-4 is x=1.