Review Quadratics with avg rate of change

The quadratic parent function is:

• y = x²

• y = x³

• y = 2x + 1

• y = 1/x

Graph the quadratic parent function.

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Tags

CCSS.HSF-IF.C.7A

Domain and Range of quadratic parent function.

• Domain: x ≥ 0, Range: All real numbers

• Domain: x ≤ 0, Range: All real numbers

Vertex of quadratic parent function.

• (0, 0)

• (1, 1)

• (-1, -1)

• (0, 1)

Write the equation of each transformation of quadratic parent function: Reflect the parent function over the x-axis.

• y = x²

• y = -x²

• y = x² + 1

• y = (x - 1)²

Write the equation of each transformation of quadratic parent function: Shift right 4 units and up 3 units.

• y = (x - 4)² - 3

• y = (x + 4)² + 3

• y = (x - 4)² + 3

• y = (x + 4)²- 3

Write the equation of each transformation of quadratic parent function: Shift left 5 units and down 3 units.

• y = (x + 5)^2 - 3

• y = (x - 5)^2 + 3

• y = (x + 5)^2 + 3

• y = (x - 5)^2 - 3

Write the equation of each transformation of quadratic parent function: Reflect over the x-axis, shift right 2 units and down 3 units.

• y = -(x - 2)^2 - 3

• y = (x + 2)^2 - 3

• y = -(x + 2)^2 + 3

• y = (x - 2)^2 + 3

Using the table at the right, determine the characteristics of each quadratic. Given the table at the right determine: Vertex, Axis of Symmetry, Direction, Symmetric points, Domain, Range.

• Vertex, (2,0)

• Vertex, (1,1)

• Vertex, (-1,9)

• Vertex, (0,2)

Tags

CCSS.HSF-IF.C.7A

Using the equation y = -3x² - 12x + 2, determine the characteristics: Vertex, Axis of Symmetry, Direction, Domain, Range.

• Vertex: (-2, 14); Axis of Symmetry: x = -2; Direction: Downward; Domain: All real numbers; Range: y ≤ 14

• Vertex: (2, -14); Axis of Symmetry: x = 2; Direction: Upward; Domain: All real numbers; Range: y ≥ -14

• Vertex: (-2, -14); Axis of Symmetry: x = -2; Direction: Upward; Domain: All real numbers; Range: y ≥ -14

• Vertex: (2, 14); Axis of Symmetry: x = 2; Direction: Downward; Domain: All real numbers; Range: y ≤ 14