Effects of Transformations on Graphs

The video tutorial covers the comparison of linear and quadratic graphs, focusing on how changes in coefficients affect the steepness and shape of the graphs. It explains the concept of slope in linear graphs and introduces quadratic graphs, highlighting their symmetrical properties. The tutorial also demonstrates how to use tables of values to compare different graph equations and discusses the impact of negative signs on quadratic graphs, resulting in an inverted shape.

What happens to a linear graph when a number is multiplied with the slope?

• The graph becomes a horizontal line.

• The graph becomes a vertical line.

• The graph becomes steeper.

• The graph remains unchanged.

How does multiplying a quadratic equation by a constant affect its graph?

• It shifts the graph to the right.

• It makes the graph wider.

• It makes the graph steeper.

• It shifts the graph upwards.

What is the effect of multiplying x^2 by 5?

• The graph shifts upwards.

• The graph becomes wider.

• The graph becomes steeper.

• The graph shifts downwards.

What is the effect of multiplying a quadratic equation by a fraction?

• The graph shifts upwards.

• The graph shifts downwards.

• The graph becomes wider.

• The graph becomes narrower.

What is the first step in comparing different quadratic graphs?

• Calculating their vertices.

• Finding their intercepts.

• Drawing them on the same graph.

• Creating a table of values.

What is the result of dividing x^2 by 3?

• The graph becomes wider.

• The graph shifts upwards.

• The graph becomes narrower.

• The graph shifts downwards.

What does a negative sign in front of a quadratic equation do to its graph?

• It makes the graph wider.

• It makes the graph steeper.

• It flips the graph upside down.

• It shifts the graph to the left.

How can you predict the shape of a graph when a negative sign is added?

• By calculating the vertex.

• By drawing a table of values.

• By observing the symmetry.

• By flipping the graph upside down.

What is the significance of the vertex in graph drawing?

• It determines the slope of the graph.

• It is the highest or lowest point.

• It is where the graph intersects the y-axis.

• It determines the width of the graph.

How does the graph of y = -x^2 differ from y = x^2?

• It is shifted to the right.

• It is flipped upside down.

• It is shifted upwards.

• It is wider.