Graphing Quadratic Functions Both Forms

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Which of the following is a transformation of the graph y = (x - 5)² ? 

• Shifts right 5.

• Shifts left 5.

• Shifts up 5.

• Shifts down 5.

Which of the following is a transformation of the graph y = 3x².

• Shifts up 3.

• Shifts left 3.

• Vertical stretch by a factor of 3.

• Shifts right 3.

Which of the following is a transformation of the graph y = x² + 4 ?

• Shifts left 4.

• Shifts right 4.

• Shifts up 4.

• Shifts down 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

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

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

(a)  

• F

• G

• H

• J

Label the following in the graph:

a

b

d

c

e

root/x-intercept right

root/x-intercept left

y-intercept

axis of symmetry (AOS)

vertex

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

• D

• A

• B

• C

Looking at the graph,

The vertex is at Point ​ (a)  

The Positive Zero is at Point ​ (b)  

The y-intercept is at Point ​ (c)  

The Negative Zero is a Point ​ (d)  

• 3

• 4

• 2

• 1

• Not Shown