Quadratic Transformations (a, h, and k)

What is the domain of the quadratic function f(x) = 2(x-1)² + 3 in interval notation?

• [0, ∞)

• [3, ∞)

• (-∞, ∞)

• (-∞, 0]

Given the quadratic function f(x) = (x+2)² - 5, what is its range in interval notation?

• (-5, ∞)

• (-∞, ∞)

• [-5, ∞)

• (-∞, -5]

Identify the vertex of f(x) = 5(x+6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

Which of the following describes the axis of symmetry for the quadratic function f(x) = 2(x-3)² + 5?

• x = 3

• x = 5

• x = -3

• x = 2

What is the maximum or minimum value of the quadratic function f(x) = -4(x+2)² + 7?

• Minimum value is 7

• Minimum value is -4

• Maximum value is 7

• Maximum value is -4

What is the effect of a negative 'a' value in the vertex form f(x) = a(x-h)² + k?

• The graph is compressed vertically

• The parabola opens downward

• The parabola opens upward

• The vertex shifts left

In the vertex form f(x) = a(x - h)² + k , what does the 'h' value do?

• Shifts the function left or right

• Reflection over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

Tags

CCSS.HSF.BF.B.3

In the vertex form f(x) = a(x - h)² + k , what does the 'k' value do?

• Shifts the function left or right

• Reflects over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

Tags

CCSS.HSF.BF.B.3

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5