Determine the axis of symmetry, vertex and graph of a parabola

The video tutorial explains how to analyze a quadratic function by finding its Y-intercept, axis of symmetry, and vertex. It demonstrates the process of graphing a parabola on an XY axis and creating a table of values to visualize the function. The tutorial emphasizes the importance of understanding the properties of quadratic functions and provides step-by-step instructions for calculating key features of the graph.

What is the Y-intercept of a quadratic function?

• The lowest point of the graph

• The highest point of the graph

• The point where the graph crosses the Y-axis

• The point where the graph crosses the X-axis

How do you find the axis of symmetry for a quadratic function?

• By finding the Y-intercept

• By setting X to zero

• By calculating the vertex

• Using the formula X = -B / 2A

What is the role of the axis of symmetry in a parabola?

• It divides the parabola into two symmetrical halves

• It is the highest point of the parabola

• It is the lowest point of the parabola

• It determines the Y-intercept

What is the X-coordinate of the vertex in relation to the axis of symmetry?

• It is the Y-intercept

• It is always zero

• It is the maximum value of the parabola

• It is the same as the axis of symmetry

How do you determine the vertex of a quadratic function?

• By using the axis of symmetry

• By calculating the maximum or minimum value

• By setting X to zero

• By finding the Y-intercept

What is the purpose of creating a table of values for a quadratic function?

• To find the Y-intercept

• To calculate the vertex

• To determine the axis of symmetry

• To plot the graph accurately

When graphing a quadratic function, why do we choose points around the vertex?

• To determine the axis of symmetry

• To find the Y-intercept

• To calculate the maximum value

• To ensure symmetry in the graph