Quadratic Functions and Their Properties Review

What is the name of the U-shaped graph created by a quadratic function?

• Parabola

• Axis of Symmetry

• Vertex

• Root

What is the name of the inflection point a quadratic function?
(Point A in the picture)

• Parabola

• Axis of Symmetry

• Vertex

• Root

Select the names we use for the points where a quadratic function crosses the x-axis. Multiple answers may be selected.
(Points B & C in the picture)

• x-intercepts

• y-intercepts

• Zeros

• Roots

• Solutions

True or False:

A quadratic function with a negative a (e.g. -x² + 6x + 8) will open upwards and have a maximum.

• True
• False

Does the quadratic equation pictured have a minimum or a maximum?

• Minimum

• Maximum

Match the forms of quadratic functions to their names:

• Vertex form

• y = x² + 6x + 8

• Standard form

• y = (x + 4)(x + 2)

• Factored form

• y = (x + 3)² - 1

The letters h and k in vertex form:

y = a(x - h)² - k

relate to the x and y coordinates in an ordered pair. Which one goes in each spot?

Recall where x and y go in an ordered pair: (x, y)

(​ (a)   , ​ (b)   )

• h
• k

Identify the two factors of the following equation:

y = x² + 6x + 8

• (x + 4)

• (x + 3)

• (x + 2)

• (x + 1)

A quadratic in standard form that produces two of the same factor is called a:​ (a)  

Example: x² + 2x + 1 = (x + 1)²

• Perfect square trinomial
• Difference of squares 
• Sum of squres
• Square of factors