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Quadratic Transformations (a, h, and k)

Authored by MEGAN KNAACK

Mathematics

8th - 12th Grade

CCSS covered

Used 22+ times

Quadratic Transformations (a, h, and k)
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20 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

[0, ∞)

[3, ∞)

(-∞, ∞)

(-∞, 0]

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

(-5, ∞)

(-∞, ∞)

[-5, ∞)

(-∞, -5]

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

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