Answered

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The graph of y=h (X) is a transformation of the graph of Y=f(X)

Given that f(x) = (x+2)^3-3, write an expression for h(x) in terms of x.

The Graph Of Yh X Is A Transformation Of The Graph Of YfX Given That Fx X233 Write An Expression For Hx In Terms Of X class=

Sagot :

MrRoyal

The expression for h(x) in terms of x is h(x) = (x  - 2)^3 + 4

How to write an expression for h(x) in terms of x?

The equation of the function f(x) is given as;

f(x) = (x + 2)^3 - 3

From the graph of the functions, we have the following transformations:

  • Translate f(x) up by 7 units
  • Translate f(x) right by 4 units

The rule of the above transformations is

(x, y) = (x - 4, y + 7)

This means that

h(x) = f(x - 4) + 7

So, we have:

f(x - 4) = (x  - 4 + 2)^3 - 3 + 7

Evaluate the sum and the difference

f(x - 4) = (x  - 2)^3 + 4

Rewrite as

h(x) = (x  - 2)^3 + 4

Hence, the expression for h(x) in terms of x is h(x) = (x  - 2)^3 + 4

Read more about transformation at:

brainly.com/question/4289712

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