M5T1 - Introduction to Quadratic Functions - Day 1

M5T1 - Introduction to Quadratic Functions

Day 1

Objective

I can graph quadratic functions to identify key characteristics.

What is a quadratic function?

Constant -  $f\left(x\right)=a$  

Linear -  $f\left(x\right)=ax+b$  

Quadratic -  $f\left(x\right)=ax^2+bx+c$   

Parts of a Parabola

Key Charateristics of a Quadratic Function

• Maximum or minimum (Vertex)

• Axis of symmetry

• Concave up or concave down

• Roots/Solutions/Zeros/X-intercepts

• Y-intercepts

• Domain and Range

Multiple Choice

What is the axis of symmetry?

• y = 2

• x = 4

• x = 2

• y = 4

Multiple Choice

Which statement is correct?

• (1.5, 6)

• (-1.5, 6)

• (1.5, -6)

• (-1.5, -6)

Multiple Choice

What is the range?

• y ≤  -6
• y ≤ 0 
• y ≥ -6
• y ≥ 0

Multiple Choice

Identify the vertex.

• (-2.5, 2.5)

• (0, 0)

• (-6, 0)

• (0, -6)

Multiple Choice

What is the axis of symmetry?

• x = -3

• x = -5

• x = -1

• x = -5

Multiple Choice

What is the y-intercept?

• (2, 6)

• (0,4)

• (-1,5)

• (5.5, 0)