Graphing by Hand
Vocabulary
Asking to Find
Random
100

Find the axis of symmetry.

y = x2 + 2x + 1

x=-1
100
What is the fold line in the middle of the parabola?
The axis of symmetry


100
When will the ball hit the ground?
The zero
100

Which function is quadratic?


A. y + 3= x2 + 2x

B. y + x = 4x

C. x=5

A. y + 3= x2 + 2x

200

Find the axis of symmetry.

y = -2x2+ x + 6

x= 1/4
200
What is the max or min point called?
The vertex
200
When did the ball reach it's maximum height?
The vertex (x-coordinate)
200

Maximum or minimum?

y = -3x2 + 3

Maximum
300

Find the vertex.

y = 1/3x2 + 6x + 3

(-9,-24)
300
What is the place where the graph crosses the x-axis called?
X-intercept/ zero/ root
300
What is the ball's maximum height?
The vertex (y-coordinate)
300

Maximum or Minimum? 

y - x2 + 3 = 2x

Minimum 
400

Find the y- intercept.


y = 3x2 + 2x + 5

(0,5)
400
What is the formula for the axis of symmetry? 
y = -b/2a
400
How long was the ball in the air for?
The zero
400

Find the x-intercepts.

y= 2x2 + 8x - 24

(2,0) and (-6,0)
500

Create your table of values for the equation.

y = -x2 - 4x - 4

x     y

-4   -4

-3    -1

-2    0

-1     -1

0      -4

500
How do we find x-intercepts?
By factoring or Quadratic formula
500
How high was the ball before it was thrown?
The y-intercept
500
Sketch a graph of a quadratic function that has one solution with a vertex that has a minimum value.
Parabola sitting on the x-axis facing up
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