Algebra 2 Graphing Quadratics in Factored Form

Which statements are true about y=2(x-3)(x+1)²?

• 3 is a zero of the function.

• The function will cross the x-axis at x = -1.

• As x gets larger the function increases.

• The function has a degree of 3.

• The function has an x-intercept at x = -3.

Tags

CCSS.HSA.APR.B.3

What does multiplicity of a zero mean?

• Look at the number of terms

• How many times the zero repeats

• Find the sum of all the coefficients

• Ratio your x and y

Tags

CCSS.HSF-IF.C.7C

Which of the following could be the equation of the graph in factored form?

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-2)
  (x-4)³

• y = x(x+1)(x-2)
  (x-4)

• y=(x+1)³(x-3)
  (x-1)²

Tags

CCSS.HSA.APR.B.3

• A
• B
• C
• D

Which of the following could be the factored form for the equation representing the graph shown?

• (x+3)(x-2)(x-5)

• (x-5)²(x-2)(x+3)

• (x-3)(x+2)(x+5)²

• none of these

Tags

CCSS.HSA.APR.B.3

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

What is the axis of symmetry of the given function?

• x = -4

• x = 4

• x = -2

• x = 2

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: all real numbers greater than or equal to -4

  Range: All real numbers

• Domain: All real numbers

  Range: All real numbers greater than or equal to -4.

• Domain: all real numbers between -1 and 5.

  Range: All real numbers greater than or equal to -4.

For f(x) = (x-3)(x+4), what are the coordinates of the y-intercept?

• (3,0) and (4,0)

• (0,3) and (0,4)

• (0,-12)

• (-12,0)

Tags

CCSS.HSF-IF.C.7A

What is the vertex?

• (2, 0)

• (3, -1)

• (0, 8)

• (4, 0)