Quadratics

Find the axis of symmetry for -x² - 4x +1

• X = 2

• x = -2

• x = 4

• x =-4

Find the vertex for -x² - 4x +1

• (2,13)

• (-2, 13)

• (-2, 5)

• (2,5)

The graph of the function y = x² is reflected across the x axis and then translated two units to the left and six units down. What equation represents the function described?

• y = (x-2)² - 6

• y = - (x+2)² - 6

• y = - (x -2)² + 6

• y= - (x+ 2²) - 6

If the graph of the function y = x² is translated so the new vertex is (-3, 0), which equation represents the new function?

• y= x² + 3

• y = x² -3

• y = ( x - 3)²

• y = ( x +3)²

Given the function y = 1/3( x- 7)² + 4. Check all the transformations that occurred from y = x²

• vertical compression

• down 4 units

• right 7 units

• left 7 units

• up 4 units

Which quadratic equations has two solutions? Check all that apply. (Hint: use the discriminant)

• y = x² - 8x -20

• y = x² +3

• y = x² - 25

• y = 4x² + 12x + 9

• y = - x² + 2x -1

Solve by using the quadratic formula. y = x² + 10x -24

• x = -2, 12

• x = 0

• x = - 12, 2

• x = 4, 2

Identify the domain and range of the function.

• Domain: -6 ≤ x ≤ 2
  Range: -3 ≤ y ≤ 5
• Domain: All real number
  Range: -3 ≤ y ≤ 5
• Domain: All real numbers
  Range: y ≥ -3
• Domain: All real number
  Range: y ≤ -3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Does this parabola have a maximum or minimum?

• Maximum
• Minimum

Tags

CCSS.HSF-IF.C.7A

Explain the translation:

y = (x + 9)² + 5

• translated left 9, up 5

• translated left 9, down 5

• translated right 9, up 5

• translated right 9, down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6