Identify all of the transformations for the graph below. -1/2 (x-2)² -2

A. Shrink by one half, Shift to the left two units, Shift down 2 units, reflect about the X Axis

B. Shrink by one half, Shift to the right two units, Shift up 2 units, Reflect about the X-Axis

C. Stretch by a factor of 2, Shift to the right two units, Shift down 2 units, Reflext about the X-Axis

D. Shrink by one half, Shift to the right two units, Shift down 2 units. Reflect about the x-axis

Respuesta :

The transformations for the graph are D. Shrink by one half, Shift to the right two units, Shift down 2 units. Reflect about the x-axis

What are transformations?

Transformations are operations performed on a functions to change its value or location. These operations include

  • reflection,
  • dilation,
  • translation and
  • rotation.

How to find the transformations of the given graph?

Since we have the expression -1/2(x-2)² - 2.

  • The factor x - 2 shows that the graph is shifted two units to the right
  • The factor 1/2 multiplying the factor (x-2)², shows that the graph shrinks by one-half.
  • The negaive sign in front of the factor -1/2(x-2)², shows that the graph is reflected about the x-axis.
  • The factor - 2 shows that the graph is shifted two units down

So, the transformations for the graph are D. Shrink by one half, Shift to the right two units, Shift down 2 units. Reflect about the x-axis

Learn more about transformation here:

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