Quadratic Graphs

Name:      

Date:      

School:      

Facilitator:      

 

5.01 Key Properties of Quadratic Graphs

 

Identify whether each of the following quadratic functions will be a positive or a negative parabola.

 

1. f(x) = –x2 – 5x + 4 Positive or Negative: negative
2. f(x) = 2x2 + 8x + 16 Positive or Negative: positive
3.   Positive or Negative: negative
4. f(x) = 7x2 + 22x + 3 Positive or Negative: positive

 

 

Identify each key feature of the parabola that has been graphed. You have also been given the equation of the parabola if you should happen to need it.

5. Equation: f(x) = 3x2 – 18x + 24

  Positive or Negative?      
  Vertex (          )
  Axis of Symmetry x =      
  Max or Mini & Point       at (          )
  Increasing Interval (          )
  Decreasing Interval (          )
  x-intercepts (          ) and (          )
  y-intercept (          )

 

 

6. Equation: y = –x2 – 6x – 10
  Positive or Negative?      
  Vertex (          )
  Axis of Symmetry x =      
  Max or Mini & Point       at (          )
  Increasing Interval (          )
  Decreasing Interval (          )
  x-intercepts (          ) and (          )
  y-intercept (          )

 

 

 

7. Equation: f(x) = x2 + 6x + 5
  Positive or Negative?      
  Vertex (          )
  Axis of Symmetry x =      
  Max or Mini & Point       at (          )
  Increasing Interval (          )
  Decreasing Interval (          )
  x-intercepts (          ) and (          )
  y-intercept (          )

 

Using the given key features, sketch the graph. You will move the points, line, and curve to the correct position. Your curve should be the last thing on your drawing. You can turn it and stretch it as necessary.

 

8. Opens down

Vertex/Maximum Point at (-2, 3)

x-intercepts at (-3, 0) and (-1, 0)

Axis of Symmetry at x = -2

 

 

 

9. Opens up

Vertex/Minimum Point at (0, -2)

x-intercepts at (-3, 0) and (3, 0)

Axis of Symmetry at x = 0

 

 

 

10. Opens down

Vertex/Minimum Point at (1, 3)

x-intercepts at (-2, 0) and (4, 0)

Axis of Symmetry at x = 1

 

Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)