Graphing Parabolas

Section 3.1
Graphing Parabolas
Day 1 (Vertex Form)

Students will graph quadratic functions in both forms and identify key graphical features.

​Objective:

Graph of a Quadratic Function

Graph of a Quadratic Function

Vertex Form

Example 1:

Example 2:

Multiple Choice

Ex 3a: Does the Parabola face up or down for $$f\left(x\right)=-\left(x+3\right)^2-2$$ ?

• Up

• Down

Multiple Choice

Ex 3b: Find the vertex for $$f\left(x\right)=-\left(x+3\right)^2-2$$ .

• (-3,-2)

• (3,-2)

• (-3,2)

• (3,2)

• None of these

Multiple Choice

Ex 3c: Find the axis of symmetry for $$f\left(x\right)=-\left(x+3\right)^2-2$$ .

• x=3

• x=-3

• y=2

• y=-2

• None of these

Multiple Choice

Ex 3d: Graph $$f\left(x\right)=-\left(x+3\right)^2-2$$ .

Desmos | Test Practice

Multiple Choice

Ex 4a: Does the Parabola face up or down for $$f\left(x\right)=2\left(x-1\right)^2-2$$ ?

• Up

• Down

Multiple Choice

Ex 4b: Find the vertex for $$f\left(x\right)=2\left(x-1\right)^2-2$$ .

• (-1,-2)

• (1,-2)

• (-1,2)

• (1,2)

• None of these

Multiple Choice

Ex 4c: Find the axis of symmetry for $$f\left(x\right)=2\left(x-1\right)^2-2$$ .

• x=1

• x=-1

• y=2

• y=-2

• None of these

Multiple Choice

Ex 4d: Graph $$f\left(x\right)=2\left(x-1\right)^2-2$$ .

Desmos | Test Practice