Quadratic Function Based on the Graph

The equation y = x² + 3x - 18 is graphed.  Based on this graph, what are the roots (x-intercepts) of the equation x² + 3x - 18 = 0?

• -3 and 6

• 0 and -18

• 3 and -6

• 3 and -18

How many roots does this parabola have? 

• 3

• 2

• 0

• 1

The equation y = x²  is graphed.  Based on this graph, what are the roots of the equation x²  = 0?

• 0

• -1 and 1

• 2 and 0

• y

Which equation below is a quadratic?

• y=9x+5

• y=3x²-6

• y=5x³+6

• x=3^x

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

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

• D

• A

• B

• C

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

Label the following in the graph:

a

b

d

c

e

y-intercept

axis of symmetry (AOS)

root/x-intercept right

vertex

root/x-intercept left

Tags

CCSS.HSF-IF.C.7A

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