Graphing a Quadratic Function

Consider the quadratic function f(x) =ax² + bx + c, where a ≠0.The graph of this function is a ​ ​ (a)  

• rhombus

• line

• circle

• parabola

Tags

CCSS.HSF-IF.C.7A

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

• Axis of symmetry: x = 1, x-coordinate of the vertex: 1

• Axis of symmetry: x = 2, x-coordinate of the vertex: 2

• Axis of symmetry: x = 0, x-coordinate of the vertex: 0

• Axis of symmetry: x = -1, x-coordinate of the vertex: -1

The general form of a parabolic function

• y = ax² + bx

• y = ax² + c

• y = ax² + bx + c

• y = ax² + bx + d

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

Label the following in the graph:

a

b

d

c

e

y-intercept

root/x-intercept left

vertex

axis of symmetry (AOS)

root/x-intercept right

Tags

CCSS.HSF-IF.C.7A

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

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

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

(a)  

• D

• A

• B

• C

Tags

CCSS.HSF-IF.C.7A

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

(a)  

• F

• G

• H

• J