Precalculus Graphing Quadratic Functions

What do we call the graph of a quadratic function?

• parabola

• linear

• cubic

• sinusoidal

Tags

CCSS.HSF-IF.C.7A

What is the vertex of this parabola?

• (−1, 3)

• (−3, 11)

• (−2, 5)

• (0, 5)

What is the y-intercept of this parabola?

• (−1, 3)

• (−3, 11)

• (−2, 5)

• (0, 5)

Tags

CCSS.HSF-IF.C.7A

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

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?​

• D

• A

• B

• C

Tags

CCSS.HSF-IF.C.7A

Label the following in the graph:

a

b

d

c

e

root/x-intercept right

vertex

y-intercept

axis of symmetry (AOS)

root/x-intercept left

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

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 quadratic equation is in STANDARD FORM

y = x² + 6x + 3

and is graphed on the right.

Label the coordinates for the x-intercepts, y-intercept and vertex

d

c

b

a

(-5.5, 0)

(0, 3)

(-3, -6)

(-0.5, 0)

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