Completing The Square - Plotting Quadratics

This video tutorial explains how completing the square simplifies graphing quadratics. It covers identifying key points like where the curve crosses the axes and the vertex, which is the turning point. The video provides practice problems and emphasizes the importance of changing the sign of the first number while keeping the second the same when identifying the vertex. It concludes with tips and encourages viewers to engage with the content.

What is the significance of the numbers obtained from completing the square in relation to the graph of a quadratic equation?

• They determine the slope of the graph.

• They indicate where the graph crosses the axes.

• They are irrelevant to the graph.

• They only affect the graph's color.

When completing the square, what is the rule for the first and second numbers in relation to the vertex?

• Change the first number's sign, keep the second the same.

• Change both numbers.

• Change the second number's sign, keep the first the same.

• Keep both numbers the same.

What is the vertex of a quadratic graph?

• The point where the graph crosses the Y-axis

• The point where the graph crosses the X-axis

• The minimum or maximum point of the graph

• The midpoint of the graph

What is the shape of the graph for a negative quadratic equation?

• An upside-down U shape

• A straight line

• A circle

• A U shape

What should you remember about the second number when finding the vertex using completing the square?

• Ignore it

• Keep it the same

• Double it

• Change its sign