Graphing a quadratic function in standard form

The video tutorial explains how to graph the equation Y = -X^2 + 4 using a table of values. It covers creating a table, choosing X values, calculating corresponding Y values, and plotting these points on a graph. The tutorial emphasizes the importance of following the order of operations and using parentheses correctly. It also discusses identifying key features of the graph, such as the vertex, axis of symmetry, and intercepts, and how these are affected by the equation's parameters.

What is the first step in graphing a quadratic function using a table of values?

• Determine the y-intercept

• Select x-values around the axis of symmetry

• Calculate the slope

• Choose random x-values

When substituting x-values into the equation y = -x^2 + 4, what is crucial to remember?

• Add before you multiply

• Use decimals instead of fractions

• Ignore the negative sign

• Follow the order of operations

What is the y-value when x = -3 in the equation y = -x^2 + 4?

• 4

• 3

• 0

• -5

Which point is the vertex of the graph y = -x^2 + 4?

• (0, 0)

• (-2, 0)

• (2, 0)

• (0, 4)

What is the axis of symmetry for the graph of y = -x^2 + 4?

• x = 2

• x = 4

• x = -2

• x = 0

How many x-intercepts does the graph of y = -x^2 + 4 have?

• None

• One

• Two

• Three

Where does the graph of y = -x^2 + 4 intersect the y-axis?

• (0, 0)

• (0, 4)

• (4, 0)

• (-4, 0)