Understanding Quadratic Functions

The video tutorial introduces quadratic functions, explaining their three main forms: standard, vertex, and factored. It covers methods to solve quadratics, including factoring, completing the square, and using the quadratic formula. The tutorial demonstrates graphing quadratics in each form and concludes with a practical exercise matching quadratic forms to graphs.

Which form of a quadratic equation does not include parentheses?

• None of the above

• Standard form

• Vertex form

• Factored form

Which method of solving quadratic equations always works?

• Factoring

• Graphing

• Completing the square

• Quadratic formula

What is the axis of symmetry for the quadratic equation in standard form?

• x = -b/2a

• x = b/2a

• x = c/a

• x = a/b

In standard form, what does the 'c' value represent?

• Axis of symmetry

• X-intercept

• Y-intercept

• Vertex

How do you determine the direction a parabola opens in vertex form?

• By the x-intercepts

• By the sign of 'a'

• By the value of 'k'

• By the value of 'h'

What is the first step in graphing a quadratic in vertex form?

• Find the y-intercept

• Plot the vertex

• Determine the axis of symmetry

• Calculate the x-intercepts

In factored form, how do you find the x-intercepts?

• Calculate the y-intercept

• Find the vertex

• Use the quadratic formula

• Set each factor equal to zero

Which form of a quadratic equation is best for identifying the x-intercepts?

• Standard form

• Vertex form

• None of the above

• Factored form

What is the vertex of a quadratic function in vertex form?

• (b, c)

• (a, c)

• (a, b)

• (h, k)

When matching quadratic functions to graphs, what is the most useful feature to identify in vertex form?

• Axis of symmetry

• Vertex

• X-intercepts

• Y-intercept