Graphing a quadratic function in standard form

The video tutorial demonstrates how to graph the quadratic equation y = -x^2 + 1 using a table of values. It covers setting up the x and y axes, choosing x-values, calculating corresponding y-values, and plotting these points to form a parabola. The tutorial explains the importance of the axis of symmetry, the vertex, and how the graph's shape is affected by the equation's coefficients. It also discusses the graph's symmetry and intercepts, providing a comprehensive understanding of graphing quadratics.

What is the general form of a quadratic equation?

• y = ax^2 + bx + c

• y = ax^2 + c

• y = ax + b

• y = ax^3 + bx^2 + c

What is the axis of symmetry for the equation y = -x^2 + 1?

• x = 2

• x = 0

• x = -1

• x = 1

Why is it important to choose points close to the axis of symmetry when plotting a quadratic graph?

• To simplify the equation

• To make calculations easier

• To ensure the graph is symmetrical

• To avoid large numbers

What is the y-coordinate when x = -2 for the equation y = -x^2 + 1?

• 1

• 0

• -3

• 3

What shape does the graph of y = -x^2 + 1 take?

• S-shape

• W-shape

• U-shape

• V-shape

Where is the vertex of the graph y = -x^2 + 1 located?

• (0, 0)

• (1, 0)

• (0, 1)

• (-1, 0)

What are the x-intercepts of the graph y = -x^2 + 1?

• -1 and 1

• 0 and 1

• -2 and 2

• 0 and -1