Unit 4 Pt. 1 Test Review: Standard & Vertex Form of Quadratics

Unit 4 Pt. 1 Test Review

Week #9: Thursday, (10/13)

When a < 0...

When a > 0...

Standard Form of Quadratic Functions

Standard Form of Quadratic Functions

Vertex Form of Quadratic Functions & Transformations

Multiple Choice

The standard form of a quadratic equation is:

• $$y=ax^2+bx+c$$  

• $$y=a\left(x-h\right)^2+k$$

Multiple Choice

The formula of the axis of symmetry is:

• $$x=-\frac{b}{2a}$$  

• $$y=a\left(x-h\right)^2+k$$   

Multiple Choice

The U-shaped curve created by a quadratic equation is:

• Vertex

• Maximum

• Minimum

• Parabola

Multiple Choice

The turning point of a parabola is:

• Origin

• Vertex

• Parabola

• Hyperbola

Multiple Choice

The vertex form of a quadratic equation is:

• y = a(x - h)² + k 

•  y = ax² + bx + c

Multiple Choice

The vertical line that divides the parabola into two equal parts is:

• Origin

• Minimum

• Axis of Symmetry

• Parabola

Multiple Choice

A vertex that is the lowest point is:

• Maximum

• Minimum

• Origin

• Parabola

Multiple Choice

A vertex that is the highest point is:

• Maximum

• Minimum

• Origin

• Parabola

Multiple Choice

What is the axis of symmetry for the following equation?

$$y=\frac{1}{4}x^2-4x+10$$  

• x = 2

• x = 8

• x = -4

• There is no axis symmetry

Multiple Choice

What is the vertex for the following equation?

$$y=\frac{1}{4}x^2-4x+10$$  

• (0, 10)

• (-6, 8)

• (8, -6)

• There is no vertex

Multiple Choice

What is the domain for the following equation?

$$y=\frac{1}{4}x^2-4x+10$$  

• y > 6 

• $$\left(-\infty,\infty\right)$$  

• There is no domain

Multiple Choice

What is the range for the following equation?

$$y=\frac{1}{4}x^2-4x+10$$  

• $$y\ge-6$$  

• All real numbers 

• There is no domain

Multiple Choice

What is the vertex form for the following equation?

$$y=\frac{1}{4}x^2-4x+10$$  

• Option 1: $$y=4\left(x+6\right)^2-8$$  

• Option 2: $$y=\frac{1}{4}\left(x-8\right)^2-6$$  

• Option 3: $$y=\frac{1}{4}\left(x+8\right)-6$$  

Multiple Select

What are two reflection point for the following equation? (select 2 answers)

$$y=\frac{1}{4}x^2-4x+10$$  

• (0, 10)

• (8, -6)

• (4, -2)

• (12, -2)