Understanding Quadratic Functions and Their Graphs

What effect does adding a positive 'c' have on the graph of a quadratic function?

• It shifts the graph to the left.

• It stretches the graph horizontally.

• It shifts the graph upwards.

• It reflects the graph over the x-axis.

How does a negative 'a' value affect the graph of a quadratic function?

• It stretches the graph vertically.

• It reflects the graph over the x-axis.

• It shifts the graph to the right.

• It shifts the graph upwards.

What is another term for the zeros of a quadratic function?

• Vertices

• Coefficients

• Roots

• Intercepts

In a vertical motion model, what does the 'h' represent?

• The acceleration due to gravity

• The height of the object

• The initial velocity

• The time in seconds

If an object is dropped from a height, what is its initial velocity?

• Zero

• Equal to the acceleration

• Equal to the time

• Equal to the height

How does increasing the initial height 'h' affect the time it takes for an object to hit the ground?

• It doubles the time.

• It decreases the time.

• It has no effect.

• It increases the time.

What is the time taken for an object to fall from a height of 16 feet?

• 1 second

• 2 seconds

• 3 seconds

• 4 seconds

How can you verify if a point lies on the graph of a quadratic function?

• By checking if the x-coordinate is zero.

• By substituting the point into the equation and checking if the equation holds.

• By ensuring the y-coordinate is positive.

• By graphing the point and checking visually.

What is the result of substituting x = 1 into the equation y = x + 1?

• y = 0

• y = 3

• y = 1

• y = 2

If a quadratic equation is in the form y = ax^2 + bx + c, what does 'c' represent?

• The slope of the graph

• The y-intercept of the graph

• The x-intercept of the graph

• The vertex of the graph