Understanding Quadratic Functions

This video reviews the three forms of quadratic functions: standard, vertex, and intercept. It explains how each form affects the graph of a parabola, including shifts and intercepts. The video also provides practice examples to illustrate these concepts.

Which of the following is NOT a form of quadratic function discussed in the video?

• Linear form

• Intercept form

• Vertex form

• Standard form

In the standard form of a quadratic function, what does the coefficient A indicate?

• The direction the parabola opens

• The y-intercept of the graph

• The vertex of the parabola

• The horizontal shift of the graph

What role does the constant C play in the standard form of a quadratic function?

• It is the y-intercept of the graph

• It shifts the graph horizontally

• It affects the width of the parabola

• It determines the x-intercepts

In vertex form, how does the value of H affect the graph of a quadratic function?

• It affects the direction the parabola opens

• It shifts the graph horizontally

• It determines the y-intercept

• It shifts the graph vertically

What is the vertex of a quadratic function in vertex form Y = A(X - H)^2 + K?

• (H, K)

• (-H, K)

• (K, H)

• (-K, H)

In intercept form, what do the values R and S represent?

• The vertex of the parabola

• The y-intercepts

• The x-intercepts

• The direction the parabola opens

How do you determine the x-intercepts from the intercept form Y = A(X - R)(X - S)?

• By using the opposite of R and S

• By finding the values of A

• By calculating the sum of R and S

• By setting A to zero

Which form of quadratic function is best for identifying the vertex directly?

• Intercept form

• Vertex form

• None of the above

• Standard form

If a quadratic function is in the form Y = (X + 3)(X + 1), what are the x-intercepts?

• (3, 0) and (1, 0)

• (3, 0) and (-1, 0)

• (-3, 0) and (-1, 0)

• (-3, 0) and (1, 0)

For the quadratic function Y = (X + 2)^2 - 1, what is the vertex?

• (-2, -1)

• (2, 1)

• (-2, 1)

• (2, -1)