How did we transform from f(x) =x 2 to g(x) = -3x 2

reflection x-axis and vertical stretch

reflection in x-axis and vertical shift down

reflection x-axis and vertical compression

How did we transform from the parent function? g(x) = -1/5(x - 1) 2 + 7

reflection, vertical compression, horizontal right, vertical up

vertical compression, horizontal shift left, vertical shift up

reflection, horizontal shift right, vertical shift down

no changes were made to y = x 2

Match the equation to its description.

Vertical Stretched by 2 and translation up 4

Vertical Compressed by 2 and translation up 4

Horizontal Stretched by 2 and translation left 4

Horizontal Compressed by 2 and translation right 4

In the equation f(x)=1/2(x+9) 2 -1, what happens to the parabola?

Vertical compress by 1/2, horizontal translation left 9, and vertical translation down 1

Reflect, horizontal compress by 1/2, horizontal translation left 9, and vertical translation down 1

Horizontal Compress by 1/2, horizontal translation right 9, and vertical translation down 1

Vertical Stretch by 1/2, horizontal translation left 9, and vertical translation down 1

Which list orders the quadratic functions from narrowest to widest?

y = 4x 2 y = 2x 2 - 2 y = x 2 y = 0.5 x 2

y = x 2 y = 4x 2 y = 2x 2 - 2 y = 0.5 x 2

y = 0.5 x 2 y = x 2 y = 2x 2 - 2 y = 4x 2

y = 2x 2 - 2 y = 4x 2 y = 0.5x 2 y = x 2

The graph of g(x) = x 2 is transformed to create the graph of h(x) = 0.5g(x). Describe the transformation.

Vertical compression by a factor of 0.5

Vertical stretch by a factor of 0.5.

Horizontal stretch by a factor of 0.5.

Horizontal compression by a factor of 0.5.

Which description of the transformation of the graph of f(x) = x 2 + 2 to the graph of g(x) = (-3x) 2 + 2 is true?

a horizontal compression with translation

a horizontal compression with reflection

a vertical compression with reflection

a vertical compression with translation

If the function f(x) = x 2 is changed so that a new function is created, g(x) = 5x 2 , how does g(x) compare to f(x)?

The graph of g(x) is narrower than the graph of f(x)

The graph of g(x) is wider than the graph of f(x)

The graph of g(x) is shifted 5 units up above f(x)

The graph of g(x) is shifted 5 units down below f(x)

If a dilation factor is greater than one, which of the following is true?

the graph is increasing at a faster rate

the graph shows a horizontal stretch

the graph shows a horizontal dilation

the graph is increasing at a slower rate

Practice D All Transformations Quadratics

Mathematics

KG - University

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Practice D All Transformations Quadratics

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which function has a translation of 3 units to the left?

f(x) = 3x²+1

f(x) = (x + 3)² + 1

f(x) = (x - 3)²+ 1

f(x) = (x + 1)²- 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

f(x)= 5(x - 2)²

f(x) = 5(x + 2)²

f(x) = (x - 2)² - 5

f(x) = (x + 2)² + 5

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function has a translation of 7 units down and reflects over the x-axis?

f(x) = -(x - 7)² + 1

f(x) = (x + 7)² + 1

f(x) = -(x - 1)² - 7

f(x) = (x + 1)² - 7

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

The graph is congruent and is translated down.

The graph is wider and opens downward.

The graph is congruent and is translated up.

The graph is narrower and opens downward.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How will the graph of f f(x) = 3x² - 1 be affected if x² becomes (x - 2)^2?

The vertex of the graph will move left 2 units.

The vertex of the graph will move up 2 units.

The vertex of the graph will move right 2 units.

The vertex of the graph will move down 2 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Consider a parabola that opens upward and has a vertex (-1, 3). Now find the equation of a new parabola that is reflected over the x-axis and translated 2 units down.

y = -(x - 3)² + 3

y = -(x - 1)²+2

y = -(x + 1)² + 1

y = -(x + 1)_²- 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSA.CED.A.2

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

It is shifted 3 units left.

It is shifted 3 units right.

It is shifted 3 units down.

It is shifted 3 units up.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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Practice D All Transformations Quadratics

Which function has a translation of 3 units to the left?

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

Which function has a translation of 7 units down and reflects over the x-axis?

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

How will the graph of f f(x) = 3x² - 1 be affected if x² becomes (x - 2)^2?

Consider a parabola that opens upward and has a vertex (-1, 3). Now find the equation of a new parabola that is reflected over the x-axis and translated 2 units down.

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

Which quadratic is the narrowest graph?

Which quadratic is wider than the graph of y = 4x² + 5?

Which quadratic graph is the widest?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

Practice D All Transformations Quadratics

Which function has a translation of 3 units to the left?

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

Which function has a translation of 7 units down and reflects over the x-axis?

What describes the effect on the graph of the equation y = 3x2 when it is changed to y = -¾x2?

How will the graph of f f(x) = 3x2 - 1 be affected if x2 becomes (x - 2)2?

Consider a parabola that opens upward and has a vertex (-1, 3). Now find the equation of a new parabola that is reflected over the x-axis and translated 2 units down.

How is the graph of y = 2x2+ 3 different from the graph of y = 2x2?

Which quadratic is the narrowest graph?

Which quadratic is wider than the graph of y = 4x2 + 5?

Which quadratic graph is the widest?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

How will the graph of f f(x) = 3x² - 1 be affected if x² becomes (x - 2)^2?

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

Which quadratic is wider than the graph of y = 4x² + 5?