Teacher explains axis of symmetry and vertex of a parabola

The video tutorial covers the basics of quadratic equations, focusing on their standard form and the graph they produce, known as a parabola. It explains the concept of the vertex and the axis of symmetry, providing formulas to find these elements. The tutorial also demonstrates how to calculate y-values for given x-values in linear equations and applies these concepts to solve quadratic problems, emphasizing the steps to find the vertex.

What is the standard form of a quadratic equation?

• y = ax^2 + bx + c

• y = ax^2 + b

• y = ax + b

• y = ax^3 + bx^2 + c

What is the shape of the graph of a quadratic equation?

• Hyperbola

• Parabola

• Ellipse

• Circle

What is the axis of symmetry in a parabola?

• A diagonal line

• A horizontal line

• A curved line

• A vertical line

How do you find the axis of symmetry for a quadratic equation?

• x = -a/(2b)

• x = a/(2b)

• x = -b/(2a)

• x = b/(2a)

What is the first step in finding the y-value of a point on a line?

• Substitute the x-value into the equation

• Divide the x-value by the slope

• Subtract the x-value from the y-intercept

• Multiply the x-value by 2

What is the first step in solving a quadratic equation to find the vertex?

• Graph the equation

• Calculate the slope

• Find the y-intercept

• Label a, b, and c

What is the vertex of the quadratic equation y = x^2 - 6x + 8?

• (3, -1)

• (-3, 1)

• (-3, -1)

• (3, 1)