The Language of Parabolas: Vocabulary and Graph Analysis

Vertex

Axis of symmetry

Roots or zeros

Y-intercept

Divides the graph into symmetric halves

Lists all possible input values

Shows where the graph crosses y-axis

Marks the highest or lowest output

Roots or zeros

Vertex point

Axis of symmetry

Range values

x = 2 and x = 4

x = −2 and x = −4

x = 6 and x = 8

x = −6 and x = 8

y = −3

y = 3

y = 4

y = −4

It has a maximum value of -7 at x = 2

It has a minimum value of -7 at x = 2

It has a maximum value at x-intercepts

It has no minimum or maximum value

y = -7

x = -7

x = 2

y = 2

One zero at x = 2

Two zeros at x = -1 and x = 5

Three zeros at x = -1, 2, and 5

No real zeros

t = 1 second

t = 2 seconds

t = 3 seconds

t = 4 seconds

48 feet

56 feet

64 feet

80 feet