P3.2: Function Transforms

Last updated almost 4 years ago
15 questions
Note from the author:
Watch this video for more review on transformations of functions.
Watch this video for more review on transformations of functions.
1

Identify the function transformations for the function.

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

1

Identify the function transformations for the function.

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

1

Identify the function transformations for the function.

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

1

Identify the function transformations for the function.

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

1

Identify the function transformations for the function.

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

1

Identify the function transformations for the function.

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

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.