Graphing Parabolas

Section 3.1
Graphing Parabolas
Day 2 (Standard Form)

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

​Objective:

Standard Form

Example 1:

Example 2:

Multiple Choice

Ex 3a: Does the Parabola face up or down for $$f\left(x\right)=2x^2-x-10$$ ?

• Up

• Down

Multiple Choice

Ex 3b: Find the vertex for $$f\left(x\right)=2x^2-x-10$$ .

• $$\left(-\frac{1}{4},\ -\frac{81}{8}\right)$$

• $$\left(\frac{1}{4},\ -\frac{81}{8}\right)$$

• $$\left(-\frac{1}{4},\ \frac{81}{8}\right)$$

• $$\left(\frac{1}{4},\ \frac{81}{8}\right)$$

• None of these

Multiple Choice

Ex 3c: Find the axis of symmetry for $$f\left(x\right)=2x^2-x-10$$ .

• $$x=\frac{1}{4}$$

• $$x=-\frac{1}{4}$$

• $$y=\frac{81}{8}$$

• $$y=-\frac{81}{8}$$

• None of these

Multiple Choice

Ex 3d: Graph $$f\left(x\right)=2x^2-x-10$$ .

Desmos | Test Practice

Multiple Choice

Ex 4a: Does the Parabola face up or down for $$f\left(x\right)=-3x^2-12x-17$$ ?

• Up

• Down

Multiple Choice

Ex 4b: Find the vertex for $$f\left(x\right)=-3x^2-12x-17$$ .

• (-2,-5)

• (2,-5)

• (-2,5)

• (2,5)

• None of these

Multiple Choice

Ex 4c: Find the axis of symmetry for $$f\left(x\right)=-3x^2-12x-17$$ .

• x=-2

• x=2

• y=5

• y=-5

• None of these

Multiple Choice

Ex 4d: Graph $$f\left(x\right)=-3x^2-12x-17$$ .

Desmos | Test Practice