Effects of 'a' on Graphs

The video tutorial explores the effects of the 'a' and 'Q' values on quadratic functions, also known as parabolas. It demonstrates how the 'a' value affects the shape of the parabola, making it thinner or wider, and how a negative 'a' value reflects the graph over the x-axis. The tutorial also covers the impact of the 'Q' value, which shifts the graph vertically along the y-axis. By understanding these transformations, students can easily sketch and interpret parabolas. The video concludes with a call to explore further resources for deeper learning.

What is another name for a quadratic function?

• Circle

• Hyperbola

• Parabola

• Ellipse

How does the 'a' value affect the shape of a parabola?

• It changes the height

• It rotates the graph

• It affects the width

• It changes the color

What happens to the graph when 'a' is 2?

• The graph shifts left

• The graph shifts right

• The graph becomes thinner

• The graph becomes wider

If 'a' is 0.5, how does the graph change?

• It shifts up

• It becomes wider

• It becomes thinner

• It shifts down

What is the effect of a negative 'a' value on the graph?

• The graph shifts left

• The graph reflects over the y-axis

• The graph shifts right

• The graph reflects over the x-axis

What is the mathematical term for flipping a graph over an axis?

• Rotation

• Reflection

• Dilation

• Translation

How does the graph of y = -x² compare to y = x²?

• It is thinner

• It is wider

• It is the same

• It is upside down

What does the 'q' value change in a quadratic graph?

• The horizontal position

• The vertical position

• The width

• The color

If q = 1, how does the graph of y = x² + q change?

• It shifts right by 1 unit

• It shifts left by 1 unit

• It shifts down by 1 unit

• It shifts up by 1 unit

What happens to the graph when q = 2?

• It shifts left by 2 units

• It shifts down by 2 units

• It shifts up by 2 units

• It shifts right by 2 units