Graphing Quadratic with Tables

What are transformations of the equation y = (x - 2)² + 3?

• right 2
  up 3

• left 2
  up 3

• left 2
  down 3

• right 2
  down 3

A theme park is designing a new roller coaster. The path of the roller coaster is modeled by the equation y = x^2 - 1. The design team decides to shift the entire path 2 units to the left. What is the new equation of the path?

• y = (x + 1)^2 - 1

• y = (x + 2)^2 - 1

• y = (x - 2)^2 - 1

• y = (x + 3)^2 - 1

If the line of the graph is a U-Shape what type of function is it?

• Exponential function

• Linear function

• Quadratic function

• Trigonometric function

What kind of function is this?

• Linear

• Absolute Value

• Quadratic

• Exponential

• None of the above

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Range : (d)  

• (-3, -5)

• (0, 4)

• x = -3

• x ≥ -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• x ≥ 3

• x = -5

• -4

The graph of quadratic function f is shown on the grid.

f(x) = (x + 3)² − 5

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

If we have the equation here, can we graph and match?

(a)  

• F

• G

• H

• J

Which graph best represents a quadratic function with a range of all real numbers greater than or equal to 3?​

• D

• A

• B

• C

Label the following in the graph:

a

b

d

c

e

vertex

root/x-intercept left

y-intercept

axis of symmetry (AOS)

root/x-intercept right