Graphing a quadratic function in standard form

The video tutorial explains how to graph the quadratic equation y = X^2 + 2. It begins by introducing the concept of using a table of values to plot points on a coordinate axis. The tutorial emphasizes the importance of choosing points around the axis of symmetry, which is at X = 0 for this equation. The instructor demonstrates how to calculate Y values by plugging X values into the equation and highlights the symmetry of the parabola. The video concludes with plotting the points, identifying the vertex, and discussing the lack of X-intercepts.

What is the axis of symmetry for the quadratic equation y = x^2 + 2?

• x = 1

• x = 0

• x = -1

• x = 2

Why does squaring a number always result in a positive value?

• Because it subtracts the number from itself

• Because it adds the number to itself

• Because it multiplies the number by itself

• Because it multiplies the number by zero

What is the y-value when x = -2 for the equation y = x^2 + 2?

• 2

• 4

• 8

• 6

What is the vertex of the parabola for the equation y = x^2 + 2?

• (2, 0)

• (0, 1)

• (1, 0)

• (0, 2)

Why does the graph of y = x^2 + 2 not have any x-intercepts?

• Because it does not cross the x-axis

• Because it is a vertical line

• Because it is a diagonal line

• Because it is a horizontal line