Graphing a quadratic function in standard form

The video tutorial explains how to graph quadratic equations in the form y = X^2 + C. It covers identifying the axis of symmetry, creating an X&Y table, and choosing values to avoid fractions. The tutorial demonstrates plotting points, analyzing the graph's features, and understanding the effects of coefficients on the graph's shape. Key concepts include the axis of symmetry, vertex, and intercepts.

What is the axis of symmetry for a quadratic equation in the form y = X^2 + C?

• Y = 1

• X = 1

• Y = 0

• X = 0

Why is it important to choose certain X values when creating an X&Y table?

• To avoid complex numbers

• To simplify calculations by avoiding fractions

• To ensure all Y values are positive

• To make the graph symmetrical

What should be done first when calculating Y values for a quadratic equation?

• Subtract C

• Square the X value

• Add C

• Multiply by A

What is the vertex of the graph for the equation y = -1/4 X^2 - 2?

• (-2, 0)

• (0, -2)

• (0, 2)

• (2, 0)

How does a negative A value affect the graph of a quadratic equation?

• It shifts the graph to the right

• It reflects the graph downwards

• It makes the graph wider

• It shifts the graph upwards

What is the effect of the C value in the equation y = X^2 + C?

• It reflects the graph horizontally

• It changes the axis of symmetry

• It shifts the graph vertically

• It changes the width of the graph

Where does the graph of y = -1/4 X^2 - 2 intersect the Y-axis?

• (0, 2)

• (0, -2)

• (0, 0)

• (2, 0)