Graph Reflections and Quadratic Functions

The video tutorial explores reflections of functions, focusing on the impact of negative signs inside and outside the function. It covers graphing techniques, symmetry, and differentiates between vertical and horizontal reflections. The session concludes with a summary and a final exercise for students to apply their understanding.

What happens to the graph of a function when the minus sign is moved from inside to outside the function?

• The graph shifts to the right.

• The graph reflects over the x-axis.

• The graph shifts upwards.

• The graph reflects over the y-axis.

What is the purpose of factorizing a quadratic function?

• To find the y-intercept.

• To determine the axis of symmetry.

• To find the x-intercepts.

• To simplify the function.

What are the x-intercepts of the function x^2 + 5x + 6?

• -1 and -6

• -2 and -3

• 2 and 3

• 1 and 6

How does the y-intercept change when a minus sign is placed in front of the entire function?

• It becomes positive.

• It remains the same.

• It becomes negative.

• It doubles.

Where is the axis of symmetry located for the function with x-intercepts at -2 and -3?

• At x = -2.5

• At x = 0

• At x = -3

• At x = -1

What type of reflection occurs when the minus sign is attached to the y instead of the x?

• Diagonal reflection

• Vertical reflection

• No reflection

• Horizontal reflection

What happens to the graph when it undergoes a vertical reflection?

• It becomes concave up.

• It shifts to the left.

• It becomes concave down.

• It shifts downwards.

Which axis does the graph reflect across when a vertical reflection occurs?

• No axis

• Y-axis

• Z-axis

• X-axis

What is the result of applying both horizontal and vertical reflections to a function?

• The graph rotates 90 degrees.

• The graph remains unchanged.

• The graph shifts diagonally.

• The graph reflects over both axes.

What task are students asked to perform at the end of the lesson?

• Write a summary of the lesson.

• Draw the final graph with both reflections.

• Create a new function.

• Solve a set of equations.