# Algebra 2 Unit 3 Flashcards

The Absolute Value parent function is…

f(x) = |x|

What is a Piecewise Function?

A piecewise function is made up of 2 or more functions, each with its own domain

When graphing Absolute Value Inequalities, NOT equal to means to graph the line as a ________ line.

Dotted

Give a brief description of what to do… f(x) = |x| - 2

Shift the parent function two units down

Find the Min/Max, AOS, and Vertex of this Quadratic Function…f(x) = - x^2 +6x

Maximum because “a” is negative, AOS is x = 3 (Use x = -b/a), Vertex is (3,9) Plug the x into equation to find the y-value

The Square Root parent function is…

f(x) = square root of x

What is the standard form of the quadratic function?

y = ax^2 + bx +c

When a > 1, then the parent functions dilations is a vertical…

Stretch or becomes skinny like a rubber band is being pulled up to down

Find the Min/Max, AOS, and Vertex of this Quadratic Function…f(x) = x^2 - 8x + 9

Minimum, AOS is x = 4, Vertex is 4, -7)

What is the generic formula for the Axis of Symmetry(AOS)?

x = h

What is the end behavior of any polynomial function?

The behavior of the graph of f(x) as x approaches positive infinity or negative infinity

When the parent function is negative in front of the a value, then the entire parent function…

Reflects or Flips upside down

Describe the Tranformation of f(x) = - 5/4 (x + 6) - 7

Reflects over the x-axis, stretches by 5/4, shifts left 6 units, shifts down 7 units

The turning point of a parabola is called the…

Vertex

Give a brief description of what to do… f(x) = - |x|

Reflect the parent function over the x-axis (flip upside down)

What is the Axis of Symmetry Formula (AOS)?

x = - b over 2a

A Qyadratic Function creates a U-shaped curve called a …

Parabola

What does the two lined R symbol stand for?

All Real Numbers

What is the Vertex of an Absolute Vale Function?

(h,k)

When given a quadratic function, when a is positive, the function will ________, creating a __________.

Up creating a Minimmum

Why might someone prefer the vertex form over the standard form of a quadratic function?

The vertex form literally gives the vertex