Axis of Symmetry in Quadratics

Adrien analyzes the quadratic function y = x^2 - 16x + 63 to find its axis of symmetry. Instead of completing the square, she uses the formula h = b / 2a, where h is the x-coordinate of the vertex, which is also the axis of symmetry. By identifying the coefficients a, b, and c from the standard form, she calculates the axis of symmetry as x = 8.

What method did Adrien initially consider for finding the axis of symmetry?

• Using the quadratic formula

• Using a calculator

• Completing the square

• Graphing the function

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

• h = -b / 2a

• h = b / 2a

• h = c / a

• h = a / b

What does the x-coordinate of the vertex represent in a quadratic graph?

• The y-intercept

• The axis of symmetry

• The minimum point

• The maximum point

In the formula h = -b / 2a, what does 'b' represent?

• The coefficient of x^2

• The constant term

• The coefficient of x

• The y-intercept

What is the value of 'a' in the quadratic function y = x^2 - 16x + 63?

• 1

• 0

• -16

• 63

What is the value of 'b' in the quadratic function y = x^2 - 16x + 63?

• 1

• 63

• 0

• -16

What is the result of the calculation -16 / 2 * 1?

• 16

• -8

• 8

• -16

What is the axis of symmetry for the function y = x^2 - 16x + 63?

• x = 8

• x = -8

• x = 16

• x = 0

Why is the axis of symmetry important in a quadratic graph?

• It shows where the graph is divided into two equal parts

• It determines the y-intercept

• It helps in finding the roots

• It indicates the maximum value