meredith48034
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For the following function:
a. Identify the parent function.
b. Graph the parent using a dashed curve
c. Describe any transformations
d. Graph the transformed function using a solid curve.

NOT MULTIPLE CHOICE!!! ​

NO LINKS For the following function a Identify the parent functionb Graph the parent using a dashed curvec Describe any transformationsd Graph the transformed f class=

Respuesta :

sqdancefan

Answer:

  a) f(x) = x^2

  b, d) see attached

  c) vertical expansion by factor of 2, reflection across the x-axis, translation 1 right and 3 up

Step-by-step explanation:

a)

After you zero the additions and replace the multipliers by 1, you get the parent function of ...

  f(x) = x^2

__

b, d)

The attached graph shows the desired functions.

__

c)

The subtraction from x represents a right shift. f(x) has been shifted right 1 unit from the parent function.

The addition to the function value represents a shift up. f(x) has been shifted up 3 units from the parent function.

The multiplier of -2 indicates two transformations. The negative sign means the function has been reflected across the x-axis. The magnitude of 2 means the graph has been vertically expanded by a factor of 2.

The transformations are ...

  • reflection across the x-axis
  • vertical expansion by a factor of 2
  • right shift 1 unit
  • shift upward 3 units
Ver imagen sqdancefan

The parent function in the scenario illustrated is f(x) = x².

What is a function?

A function simply means the expression that defines a relationship between the independent variable and the dependent variable.

In this case, the parent function in the scenario illustrated is f(x) = x². Also, the transformation is that there is a vertical expression by factor of 2, a reflection across the x axis, and a translation.

Learn more about functions on:

https://brainly.com/question/25638609

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