Graphing Quadratic Functions: Identifying Features and Direction

This video tutorial covers the identification of features in simple quadratic functions by graphing them. It begins with a review of order of operations and evaluates quadratic expressions. The tutorial clarifies the concept of vertical lines on a coordinate plane and proceeds to graph basic quadratic functions like y = x^2, y = 3x^2, and y = -3/2x^2. It highlights the importance of the vertex, axis of symmetry, and the effect of the leading coefficient on the direction of the parabola. The video concludes with a comparison of graphs with different leading coefficients.

What is the result of evaluating -4x^2 when x = -3?

• 12

• -36

• 36

• -12

In the standard form of a quadratic function, what does the 'a' represent?

• The y-intercept

• The x-intercept

• The leading coefficient

• The constant term

What is the equation of a vertical line that crosses the x-axis at x = 2?

• y = x

• x = 2

• y = 2

• x = y

What is the vertex of the graph of y = x^2?

• (1, 1)

• (-1, 1)

• (2, 4)

• (0, 0)

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

• y = x

• x = 0

• x = 1

• y = 0

How does the sign of the leading coefficient affect the direction a parabola opens?

• Both open down

• Positive opens down, negative opens up

• Positive opens up, negative opens down

• Both open up

Which of the following functions will open downwards?

• y = 2x^2

• y = x^2

• y = -3/2x^2

• y = 3x^2