Be There or Be Square: Quadratic Functions and Graphing

This video tutorial summarizes lesson five of unit four, focusing on converting quadratic functions from standard form to vertex form and graphing them. It explains the concepts of completing the square, identifying the vertex, and using the a-value to graph parabolas. The lesson includes practical examples, such as graphing a parabola with a given equation and understanding symmetry. The tutorial also covers how to handle different a-values and provides a summary of key points and homework guidance.

What is the standard form of a quadratic function?

• y = a(x + h)^2 - k

• y = ax^2 + bx + c

• y = ax + b

• y = a(x - h)^2 + k

In the vertex form of a quadratic function, what does the 'a' value represent?

• The horizontal shift

• The vertical stretch or shrink

• The axis of symmetry

• The y-intercept

What is the axis of symmetry for the equation y = (x - 3)^2 + 4?

• x = -3

• x = 0

• x = 4

• x = 3

Tags

CCSS.HSA-REI.B.4B

How do you determine if a quadratic function is a perfect square?

• By graphing the function

• By finding the roots of the equation

• By completing the square and checking if the result is a square

• By checking if the discriminant is zero

What is the vertex of the function y = (x - 3)^2?

• (0, -3)

• (3, 0)

• (0, 3)

• (-3, 0)

Tags

CCSS.HSF-IF.C.7A

When graphing a parabola, how do you find additional points using the a-value?

• Move right 2 and up 2 times a

• Move right 1 and up 1 times a

• Move left 2 and down 2 times a

• Move left 1 and down 1 times a

What is the greatest common factor used in the expression 2x^2 - 12x?

• 3

• 2

• 6

• 4

Tags

CCSS.HSA-REI.B.4B

How do you adjust the k-value when completing the square if you have extra squares?

• Add the extra squares to k

• Multiply k by the extra squares

• Divide k by the extra squares

• Subtract the extra squares from k

What is the vertex of the function after completing the square for 2x^2 - 12x?

• (1, 3)

• (3, -1)

• (3, 1)

• (-1, 3)

What is the axis of symmetry for a parabola with vertex (3, -1)?

• x = 3

• x = 0

• x = 1

• x = -1