P3.2: Function Transforms

Last updated about 4 years ago

15 questions

Note from the author:

Instructions

1

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P3.2: Function Transforms

Last updated about 4 years ago

15 questions

Note from the author:

Watch this video for more review on transformations of functions.

Instructions

Watch this video for more review on transformations of functions.

1

The quadratic parent function is reflected in the x-axis, then translated 2 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

1

The quadratic parent function is stretched by 5, then translated 3 units right.

Write the new equation for the function. Use "y=..." format, no spaces.

1

The square root parent function is shifted 7 units down and 4 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

1

The square root parent function is compressed by 1/2, then reflected over the x-axis.

Write the new equation for the function. Use "y=..." format, no spaces.

1

The quadratic parent function is stretched by 4, then shifted 2 units right and 1 unit down.

Write the new equation for the function. Use "y=..." format, no spaces.

1

The quadratic parent function is reflected in the x-axis, then translated 8 units left and 5 units up.

Write the new equation for the function. Use "y=..." format, no spaces.

1

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.

1

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.

1

Select the function that matches the graph shown.

Watch this video for more review on transformations of functions.

Watch this video for more review on transformations of functions.

Identify the function transformations for the function.

f(x) = x^{2} - 7

Identify the function transformations for the function.

f(x) = \frac{1}{5}\sqrt{x}+4

Identify the function transformations for the function.

f(x) = -(x - 2)^{2}

Identify the function transformations for the function.

f(x) = \sqrt{x+6}+2

Identify the function transformations for the function.

f(x) = 2(x+5)^{2}-4

Identify the function transformations for the function.

f(x) = -\frac{5}{3}x^{2}+2

The quadratic parent function is reflected in the x-axis, then translated 2 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 5, then translated 3 units right.

Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is shifted 7 units down and 4 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is compressed by 1/2, then reflected over the x-axis.

Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 4, then shifted 2 units right and 1 unit down.

Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is reflected in the x-axis, then translated 8 units left and 5 units up.

Write the new equation for the function. Use "y=..." format, no spaces.

1

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.

1

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.

1

Select the function that matches the graph shown.

Identify the function transformations for the function.

f(x) = x^{2} - 7

shift left 7

shift right 7

shift down 7

shift up 7

stretch by 7

compression by 7

reflection

Identify the function transformations for the function.

f(x) = \frac{1}{5}\sqrt{x}+4

shift down 4

shift down 1/5

shift up 4

shift up 1/5

compression by 4

compression by 1/5

stretch by 4

reflection

Identify the function transformations for the function.

f(x) = -(x - 2)^{2}

shift left 2

shift right 2

shift down 2

shift up 2

compression by 2

stretch by 2

reflection

Identify the function transformations for the function.

f(x) = \sqrt{x+6}+2

shift left 6

shift left 2

shift right 6

shift right 2

shift down 6

shift down 2

shift up 6

shift up 2

reflection

Identify the function transformations for the function.

f(x) = 2(x+5)^{2}-4

shift left 5

shift left 4

shift right 5

shift right 4

shift down 5

shift down 4

shift up 5

shift up 4

stretch by 2

compression by 2

reflection

Identify the function transformations for the function.

f(x) = -\frac{5}{3}x^{2}+2

shift left 2

shift right 2

shift down 2

shift up 2

stretch by 5/3

compression by 5/3

reflection

y=\sqrt{x}+3

y=\sqrt{x-3}

y=\sqrt{x}-3

P3.2: Function Transforms

P3.2: Function Transforms

The quadratic parent function is reflected in the x-axis, then translated 2 units left.Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 5, then translated 3 units right.Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is shifted 7 units down and 4 units left.Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is compressed by 1/2, then reflected over the x-axis.Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 4, then shifted 2 units right and 1 unit down.Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is reflected in the x-axis, then translated 8 units left and 5 units up.Write the new equation for the function. Use "y=..." format, no spaces.

Write the equation for the parabola given.Use vertex form, "y=(x-h)2+k", no spaces.

Write the equation for the parabola given.Use vertex form, "y=(x-h)2+k", no spaces.

Select the function that matches the graph shown.

Identify the function transformations for the function.f(x) = x^{2} - 7

Identify the function transformations for the function.f(x) = \frac{1}{5}\sqrt{x}+4

Identify the function transformations for the function.f(x) = -(x - 2)^{2}

Identify the function transformations for the function.f(x) = \sqrt{x+6}+2

Identify the function transformations for the function.f(x) = 2(x+5)^{2}-4

Identify the function transformations for the function.f(x) = -\frac{5}{3}x^{2}+2

The quadratic parent function is reflected in the x-axis, then translated 2 units left.Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 5, then translated 3 units right.Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is shifted 7 units down and 4 units left.Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is compressed by 1/2, then reflected over the x-axis.Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 4, then shifted 2 units right and 1 unit down.Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is reflected in the x-axis, then translated 8 units left and 5 units up.Write the new equation for the function. Use "y=..." format, no spaces.

Write the equation for the parabola given.Use vertex form, "y=(x-h)2+k", no spaces.

Write the equation for the parabola given.Use vertex form, "y=(x-h)2+k", no spaces.

Select the function that matches the graph shown.

The quadratic parent function is reflected in the x-axis, then translated 2 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 5, then translated 3 units right.

Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is shifted 7 units down and 4 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is compressed by 1/2, then reflected over the x-axis.

Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 4, then shifted 2 units right and 1 unit down.

Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is reflected in the x-axis, then translated 8 units left and 5 units up.

Write the new equation for the function. Use "y=..." format, no spaces.

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.

Identify the function transformations for the function.

f(x) = x^{2} - 7

Identify the function transformations for the function.

f(x) = \frac{1}{5}\sqrt{x}+4

Identify the function transformations for the function.

f(x) = -(x - 2)^{2}

Identify the function transformations for the function.

f(x) = \sqrt{x+6}+2

Identify the function transformations for the function.

f(x) = 2(x+5)^{2}-4

Identify the function transformations for the function.

f(x) = -\frac{5}{3}x^{2}+2

The quadratic parent function is reflected in the x-axis, then translated 2 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 5, then translated 3 units right.

Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is shifted 7 units down and 4 units left.

Write the new equation for the function. Use "y=..." format, no spaces.

The square root parent function is compressed by 1/2, then reflected over the x-axis.

Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is stretched by 4, then shifted 2 units right and 1 unit down.

Write the new equation for the function. Use "y=..." format, no spaces.

The quadratic parent function is reflected in the x-axis, then translated 8 units left and 5 units up.

Write the new equation for the function. Use "y=..." format, no spaces.

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.

Write the equation for the parabola given.

Use vertex form, "y=(x-h)2+k", no spaces.