Quadratics

Graphing

Sketch the graph

$$y=2x-2$$

Multiple Choice

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

Multiple Choice

Factor: x² + 2x – 3

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

Multiple Choice

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Multiple Choice

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

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

Match

ET: Match the following equation to its correct transformation.

• $$\left(x-2\right)^2$$

• $$f\left(x\right)\ +\ 4$$

• $$f\left(x\ +\ 2\right)$$

• $$x^2\ -\ 5$$

Translate to the right

Translate up

Translate to the left

Translate down

• Translate to the right

• Translate up

• Translate to the left

• Translate down

Multiple Choice

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically compressed by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically compressed by 2 and shifted left 4

Multiple Choice

.How many zeros does this parabola have? 

• 3
• 2
• 0
• 1

Multiple Choice

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Multiple Choice

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

Multiple Choice

What are the x-intercepts?

• 0 and 2
• -4 and 0
• 2 and 3
• 0 and 4

Multiple Choice

How many solutions does this graph have?

• one
• two
• no solutions
• cannot be determined

Multiple Choice

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• none of these

Multiple Choice

Find the axis of symmetry and vertex

y = x² – 8x + 12

• x=3 (3,-3)

• x=4, (4,-4)

• x= -4, (-4,4)

• x=-4 (-4, 60)

Multiple Choice

What is the domain of the graph?

• All real numbers
• To infinity and beyond
• y ≥ 0
• x ≥ 0

Multiple Choice

What is the domain of the function?

• $$x\le7$$

  
  

• $$y\le7$$
  

• All Real Numbers

• $$x\le2$$

Multiple Choice

What is the range of the graph?

• $$x\ge-3$$

• $$y\ge-3$$

• $$y\le-3$$

• $$x\le-3$$

Multiple Choice

What is the domain of the graph?

• All real numbers
• To infinity and beyond
• y ≥ -1
• x ≥ 0

Multiple Choice

What is the range of the graph?

• All real numbers
• To infinity and beyond
• y ≥ -1
• x ≥ 0

Multiple Choice

What is the domain of the function?

• x > 2

• x > 3

• All Real Numbers

Multiple Choice

What is the range of the function?

• y ≤ -2

• y ≤ 5

• All Real Numbers