Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

Horizontal shift left 6, vertical shift down 2

Horizontal shift left 6, vertical shift up 2

Horizontal shift right 6, vertical shift down 2

Horizontal shift right 6, vertical shift up 2

Given f ( x ) = 1 4 x ² f\left(x\right)=\frac{1}{4}x² f ( x ) = 4 1 x ² how did we transform from the parent function?

Vertical compression (wider) and reflection over x-axis

Vertical stretch (narrower) and reflection over x-axis

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

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

a translation shifting f(x) 4 units up

a translation shifting f(x) 4 units down

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

What is the axis of symmetry in a function?

A vertical line that passes through the vertex and divides the parabola in half

The transformation of the graph

The vertex, represented by (h,k)

Identify the minimum and the domain of the function y = -2(x+1) 2 + 4

Max: 4, Domain: All Real Numbers

Min: -4, Domain: All Real Numbers

Max: 2, Domain: All real numbers when x is greater than 4

Min: -2, Domain: All real numbers when x is less than 4

What steps transform the graph y = x 2 to y = -1/2(x-4) 2 + 1?

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Stretched by 1/2, shifted 4 units right and 1 unit down

What is the domain of the function?

D:{ x is greater than or equal to 3}

D:{x is less than or equal to 3}

D:{ x is all real numbers between and including -1 and 5}

What steps transform the graph y = x 2 to y = 2(x+2) 2 - 5?

Stretch by 2, shifted 2 units left and 5 down

shrink by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

shrink by 5, shifted 2 units left and 2 down

Which transformations were applied to form the red graph from the blue graph?

reflection, shrink, left 4, down 5

quadratic Vertex form transformations

Quiz

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.3, HSG.CO.A.2, HSF.IF.C.7

+8

Standards-aligned

Zohra Samji

Used 19+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the vertex form of a quadratic function?

f(x) = 2a(x - h)² + k

f(x) = a(x - h)² + k

f(x) = (x + h)² + k

f(x) = a(x - h) - k

Tags

CCSS.HSF.IF.C.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Shifts the function left or right

Changing 'a' value has no affect on the parent function

Vertical stretch or compression

Shifts the function up or down

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

becoming wider or vertically compressed

becoming narrower or vertically stretched

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given f(x) = ax² , if a > 1 , the graph will transform by

becoming wider or vertically compressed

becoming narrower or vertically stretched

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

5.

MULTIPLE CHOICE QUESTION

30 sec • 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

6.

MULTIPLE CHOICE QUESTION

30 sec • 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

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How did we transform from y=x^2?
y = -3x²

vertical reflection and vertical shift down

vertical reflection and vertical stretch

horizontal stretch

vertical reflection and vertical compression

Tags

CCSS.HSF.BF.B.3

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quadratic Vertex form transformations

30 questions

What is the vertex form of a quadratic function?

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

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

Given f(x) = ax² , if a > 1 , the graph will transform by

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

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

How did we transform from y=x^2?
y = -3x²

How did we transform from the parent function?
y = x² + 2

Given f(x) = -x² , how did we transform from the parent function?

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

quadratic Vertex form transformations

30 questions

What is the vertex form of a quadratic function?

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

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

Given f(x) = ax² , if a > 1 , the graph will transform by

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

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

How did we transform from y=x2?y = -3x2

How did we transform from the parent function?y = x2 + 2

Given f(x) = -x² , how did we transform from the parent function?

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

How did we transform from y=x^2?
y = -3x²

How did we transform from the parent function?
y = x² + 2