Graphing Quadratic Functions

Vocabulary

100

Every quadratic equation has a U-shaped graph called this.

What is parabola?

200

The highest or lowest point on a parabola.

What is the vertex?

300

When a quadratic equation is written in this form y = ax^2 +bx + c

What is the standard form?

400

This is where the parabola crosses the x-axis.

What is/are solutions (x-intercepts, zeros, roots)?

500

The line that runs through the vertex and divides the parabola in half.

What is axis of symmetry?

Name that Form

100

y = x² - 3x + 1

What is standard form?

200

y = 2(x - 5)² + 6

What is Vertex form?

300

y = 5x² + x - 1

What is standard form?

400

y = -7(x + 5)(x - 1)

What is factored form?

500

y = x²

What is the parent function?

Crossing the Line

100

Name the x-intercepts 

y=2(x-2)(x+6)

What is (2,0) and (-6,0)?

200

Name the x-intercepts 

y=x(x-2)

What is (0,0) and (2,0)?

300

Name the x-intercepts 

y=x² - 4

What is (-2,0) and (2,0)?

400

Name the x-intercepts 

y=x² - x - 2

What is (-1,0) and (2,0)?

500

Name the x-intercepts 

y= (x-1)² + 1

What is None?

Mountain High, Valley Low

100

Name the vertex 

y= (x-3)² +4

What is (3,4)?

200

Is the vertex a maximum or minimum?

y= (x+1)² - 8

What is minimum?

300

Is the vertex a maximum or minimum?

y=-2(x+4)(x-4)

What is maximum?

400

Name the vertex 

y = x² - 4x - 5

What is (2,-9)?

500

Name the vertex 

y = 2x² + 4x - 6

What is (-1,-8)?

Dude, where's my vertex?

100

Describe the translation

 y=(x-3)² - 4

What is shift right 3 units and down 4 units?

200

Describe the translation

y = (x+2)²

What is shift left 2 units?

300

Describe the translation

y=(x+1)² + 2

What is shifts left 1 unit and up 2 units?

400

Describe the translation 

y= -2(x-2)(x+8)

What is shifts left 3 units and up 50 units?

500

Describe the translation.

y= x² - 34x + 261

What is shifts right 17 units and down 28 units.