Characteristics of Parabolas

Identify and label key features of a Parabola.

By Angel Aceves

Multiple Choice

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​Vertex examples:

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Multiple Choice

Identify the vertex

• (-1,-9)

• (0,-8)

• (-4,0)

• (0,0)

​X-intercepts and Y-intercepts

Multiple Select

Identify the x intercepts: Mark all that apply

• (-1,-9)
• (0,-8)
• (-4,0)
• (2,0)

Multiple Select

Identify the y intercept(s): Mark all that apply

• (-1,-9)

• (0,-8)

• (-4,0)

• (2,0)

​Axis of symmetry

and minimum value

• axis of symmetry should always be in the form of x=

• axis of symmetry always goes through the x value from the vertex

• minimum of maximum value is the lowest or highest y-value from the vertex

Multiple Choice

Name the Axis of Symmetry

• x = 1

• x = 0

Multiple Choice

Maximum or Minimum

• Maximum

• Minimum

Multiple Choice

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

Draw

Please label the parabola with the following features:

a. vertex point

b. x-intercepts (there are 2)

c. y-intercept (there is 1)

d. Draw a vertical line to represent the line of symmetry

The standard form of a quadratic equation is ax²+bx+c

What are the values for a, b and c in the following quadratic equation?

3x²+5x-1

a=3

b=5

c= -1 (don't forget the negative sign if it is minus)

Multiple Choice

Identify the "b" value

$$2x^2+6x-10$$  

• 2

• 6

• -10

• 10

Multiple Choice

Identify the "c" value

$$3x^2-10x+11$$  

• 11

• -10

• 10

• 3

Multiple Choice

Determine the values of

a, b, and c

4x² – 8x - 3

• a = 4, b = -8, c = 3

• a = 4, b = -8, c = -3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Multiple Choice

Identify the "a" value

$$-12+4x^2-x$$  

• 4

• -12

• -1

Multiple Choice

Identify the "b" value

$$12-2x^2+4x$$  

• 4

• 12

• -2

Multiple Choice

Identify the "c" value

$$3x+6+4x^2$$  

• 6

• 4

• 3