Given f(x)=x^2, after performing following transformations shift upwards 18 units and shift 89 units to the right, the new function g(x)=?

necessaryh 2020-11-22 Answered
Given \(f(x)=x^2\), after performing following transformations shift upwards 18 units and shift 89 units to the right, the new function g(x)=?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

Benedict
Answered 2020-11-23 Author has 18128 answers
Given \(f(x)=x^2\)
performing the transformation shift upward 18 units and shift 89 units to right
we find new function
\(g(x)=(x-89)^2+18\)
Hence \(g(x)=(x-89)^2+18\)
Have a similar question?
Ask An Expert
22
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-02-05

Given \(f(x)=x2\), after performing the following transformations: shift upward 58 units and shift 75 units to the right, the new function \(g(x)=\)

asked 2020-11-12
Given \(f(x)=x^2\) after performing the following transformations shifted upwards 90 units and shifted 87 units to right, the new function g(x)=?
asked 2021-01-31
Given \(f(x)=x^2\), after performing the following transformations: shift upward 52 units and shift 23 units to the right, write the new function
g(x)=
asked 2020-11-27
Starting with the function \(f(x) = e^x\), create a new function by performing the following transformations.
i. First shift the graph of f (x) to the left by two units.
\(f_1 (x) =\)?
ii. Then compress your result by a factor of \(1/7\)
\(f_2 (x) =\) ?
iii. Next, reflect it across the x-axis.
\(f_3 (x) =\) ?
iv. And finally shift it up by eight units to create g (x).
g (x) =?
asked 2021-01-15
Create a new function in the form \(y = a(x-h)^2 + k\) by performing the following transformations on \(f (x) = x^2\).
Give the coordinates of the vertex for the new parabola.
g(x) is f (x) shifted right 7 units, stretched by a factor of 9, and then shifted down by 3 units. g(x) = ?
Coordinates of the vertex for the new parabola are:
x=?
y=?
asked 2021-02-05

Create a new function in the form \(y = a(x- h)^2 + k\) by performing the following transformations on \(f (x) = x^2\)
Give the coordinates of the vertex for the new parabola.
h(x) is f (x) shifted right 3 units, stretched by a factor of 9, and shifted up by 7 units. \(h(x) = ?\)
Edit Coordinates of the vertex for the new parabola are:
\(x=?\)
\(y =?\)

asked 2021-02-23
List a sequence of transformations, in words, to convert the graph of \(f(x)=x^2\) into the graph of \(g(x)=-6(x-2)^2+5\).
...