Quadratic Features

​Quadratic Features

X-intercepts
Y-Intercepts
Vertex
Axis of symmetry
Maximum/Minimum

Hotspot

Select the y-intercept of the graph.

Hotspot

Select the x-intercepts of the graph.

Multiple Select

A graph of a quadratic function is shown.

Which values best represent the zeros of the function?

Select TWO correct answers

• x=1

• x=-4

• x=-1

• x=3

• x=-3

Multiple Choice

What are the zeros of the function
f(x)= (x - 2)(x + 3)?

• x = - 2 or x = 3
• x = 2 or x = -3
• The are no real roots
• x = 2 or x = 3

Multiple Choice

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Multiple Choice

Which of the following represents the axis of symmetry for the quadratic equation y = x² - 6x + 8?

• x = 3

• y = 3

• x = -3

• y = -3

Multiple Choice

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Multiple Choice

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

Drag and Drop

The function has a ​

Placeholder

value of ​

Placeholder

Drag these tiles and drop them in the correct blank above

minimum

-4

maximum

-3

-1

0

1

Multiple Choice

Factor: x² + 2x – 3

• (x - 2)(x + 1)
• (x + 1)(x - 3)
• (x + 2)(x - 1)
• (x - 1)(x + 3)

Multiple Choice

What is the factored form of x²+16x+15

• (x+1)(x+15)
• (x+3)(x+5)
• (x-3)(x-5)
• (x-1)(x+15)

Multiple Choice

Factor:
x² + 5x - 24

• (x - 8)(x + 3)
• (x + 8)(x - 3)
• (x + 6)(x - 4)
• (x + 12)(x - 2)

Multiple Choice

Factor
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Linear Factors

Multiple Choice

Which line represents a factor of the quadratic function?

• The blue line

• The green line

• The purple line

• The black line

Multiple Choice

Which expression is a factor of $$21x^2+13x-20$$  ?

• There are no real factors 

• $$7x-5$$  

• $$7x+4$$  

• $$3x+5$$  

Multiple Choice

Which expression is a factor of $$36x^2-49$$  ?

• $$18x-7$$  

• $$6x-49$$  

• $$18x-49$$  

• $$6x-7$$  

Multiple Choice

Which binomial is a factor of the polynomial

x² + x - 6 ?

• (x - 2)

• (x - 6)

• (x + 6)

• (x + 2)

Multiple Choice

Which binomial is a factor of the polynomial

x² + 6x + 8 ?

• -2

• 6x

• (x - 4)

• (x + 2)

Multiple Choice

Factor the polynomial completely.

6x² - 3x + 2

• (3x + 2)(2x + 1)

• (2x - 2)(3x - 1)

• (3x - 2)(2x - 1)

• cannot be factored.