Finding the axis of symmetry for a parabola and graph

The video tutorial explains how to find the axis of symmetry for a quadratic function. It begins with a graphical approach, using transformations to determine the axis of symmetry by shifting the graph. The tutorial then introduces an algebraic method, using the formula for the axis of symmetry, which involves rewriting the function in standard quadratic form. Both methods are shown to yield the same result, demonstrating the consistency between graphical and algebraic approaches.

What is the axis of symmetry for the parent function y = x^2?

• x = 1

• x = 0

• y = 1

• y = 0

How does a horizontal shift affect the axis of symmetry of a parabola?

• It shifts the axis of symmetry up or down.

• It shifts the axis of symmetry left or right.

• It does not affect the axis of symmetry.

• It reflects the axis of symmetry over the x-axis.

If a parabola is represented by the function (x + 1)^2 + 4, where is the new axis of symmetry located?

• x = 1

• x = -1

• x = 0

• x = 2

What is the formula used to find the axis of symmetry algebraically in a quadratic function?

• b/2a

• -a/2b

• a/2b

• -b/2a

In the function x^2 + 2x + 3, what is the value of the axis of symmetry?

• x = -2

• x = 1

• x = 2

• x = -1