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Quadratic Transformations Vertex

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Quadratic Transformations Vertex
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16 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does the quadratic function that has a vertex of (3,4) look like?

y = a(x+3)2 + 4

y = a(x-3)2 + 4

y = -a(x+3) - 4

y = a(x-3)2 - 4

Tags

CCSS.HSF-IF.C.7A

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?

a reflection across the line x = -4

a reflection across the line y = -4

a translation shifting f(x) 4 units to the left

a translation shifting f(x) 4 units to the right

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How did we transform from y=x2?

y = -3x2

vertical reflection and vertical shift down

vertical reflection and vertical stretch

horizontal stretch

vertical reflection and vertical compression

6.

MULTIPLE CHOICE QUESTION

1 min • 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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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