Exploring Vertical Scaling in Quadratic Equations

The video tutorial explains vertical scaling of quadratic equations, comparing it to linear equations. It covers vertical stretch and compress transformations, showing how to find the 'a' value in vertex form. The tutorial analyzes transformations using ordered pairs and algebraic representations, highlighting the effects on X and Y coordinates. It concludes with a summary of vertical scaling concepts, emphasizing the impact of multiplying functions by numbers greater than one or between zero and one.

What happens to the Y-intercept of a linear function when it undergoes a vertical stretch?

• It becomes zero.

• It moves farther from the X-axis.

• It remains unchanged.

• It moves closer to the X-axis.

In the vertex form of a quadratic equation, what does the 'a' value determine?

• The Y-intercept of the parabola.

• The direction and type of vertical scaling.

• The X-intercept of the parabola.

• The color of the graph.

If a quadratic function is vertically stretched, what can be said about the 'a' value?

• It is less than zero.

• It is between zero and one.

• It is greater than one.

• It is equal to one.

How do the Y coordinates change when a quadratic function undergoes a vertical compression?

• They are multiplied by a number greater than one.

• They are divided by a number greater than one.

• They remain the same.

• They are multiplied by a number between zero and one.

What is the algebraic representation of H(x) if it is a vertical stretch of F(x) = x^2?

• H(x) = x^2

• H(x) = 2 x^2

• H(x) = -x^2

• H(x) = 1/2 x^2

What does a positive 'a' value indicate about the direction of a parabola?

• The parabola is vertical.

• The parabola is horizontal.

• The parabola opens upward.

• The parabola opens downward.

What transformation occurs when a quadratic function is multiplied by a fraction?

• Horizontal stretch

• Vertical stretch

• Vertical compression

• Horizontal compression