Solving Quadratics from a Graph

What are the roots of the function? 

• {x|x = 4, -1}

• (-4, 1)

• {x|x = -4, 1}

• (4, 0) (-1, 0)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What are the roots of the function?

• x = 4, -1

• (-4, 1)

• x = -4, 1

• (4, 0) (-1, 0)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Which property allows you to solve an equation that looks like (x - 5)(2x + 8) = 0?

• Associative Property of Multiplication

• Zero Product Property

• X-Intercept Property of Algebra 2

• Commutative Property of Addition

Tags

CCSS.HSA-REI.B.4B

What does it mean for the solutions to a quadratic equation to be 6 and 11?

• The y-intercept is 6 and the x-intercept is 11.

• The parabola is flipped upside-down.

• The parabola crosses the x-axis at 6 and 11.

• The parabola moved 6 units to the left and 11 units down from the origin.

Tags

CCSS.HSF-IF.C.7A

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

Which of the following describes the graph of f(x)= x² - 2x -15.

• The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)

• The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

Tags

CCSS.HSF-IF.C.7A

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

• f(x)= -(x-4)²+7

• f(x)= (x+4)²+7

• f(x)= -(x+4)²+7

• f(x)= (x-4)²+7

What is the range for the function below? 

• y ≤ 4

• y ≥ 4

• All real numbers

• -3 ≤ y ≤ 1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the axis of symmetry for the following equation? y=4x²-8x+9

• x = 5

• x=1

• y = 1

• y = 5

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3