Characteristics of Quadratic Functions from Equations

Using the graph of the quadratic function, identify the range.

• y < -6

• -2 < x < 10

• -∞ < x < ∞

• -6 ≤ y < ∞

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the y-intercept of this quadratic function: 4y = 40x²?

• 4

• 10

• 0

• 40

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept of this quadratic function: 7x² + 2x - 3 = y?

• 0

• 7

• 2

• -3

Tags

CCSS.HSF-IF.C.7A

Which of the following equations is written in the standard form for quadratic equations?

• 8x + 4y = 12

• y = 4x² - 7x + 11

• 3x² + 2x = 1

• 2x² - x³ + 14 = y

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

What is true for: y = ½(x - 4)² - 4

• Opens up with a minimum

• Opens down with a maximum

• Opens left

• Opens right

Tags

CCSS.HSF-IF.C.7A

Label the graph. Match the zero smaller and larger values by placing the box on the graph next to what it represents.

g

f

b

e

a

Maximum

Vertex (-2, 4)

Axis of Symmetry: x = -2

Axis of Symmetry: x = -4

Axis of Symmetry: x = 0

Vertex (-4, 2)

Minimum

Zero smaller value

Zero larger value

Tags

CCSS.HSF-IF.C.7A

Vertex: ​ (a)  

Y-intercept: ​ (b)  

Axis of Symmetry: ​ (c)  

Max or min: ​ (d)  

Max or Min value:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max

• y = 4

• 4,3

• (4,3)

• (-5,0)

• y = 3

• Min

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)

Tags

CCSS.HSF-IF.C.7A