Question

Describe the transformation that takes f(x)=x+1 to g(x) = -x+4. Will Mark Brainliest.​

Answer 1

Answer:

Reflection across y axis

Translate up by 3 units

Step-by-step explanation:

Given

$f(x) = x + 1$

$g(x) = -x + 4$

Required

Describe the transformation from f(x) to g(x)

First, take a reflection of f(x) across the y axis.

So f(x) becomes f(-x)

$f(x) = x + 1$ when reflected

$f(-x) = -x +1$

Next, translate f(-x) up by 3 units to give g(x)

$g(x) = f(-x) + k$

Where

$k = 3$

$f(-x) = -x +1$

$g(x) = -x + 1 + 3$

$g(x) = -x + 4$

Hence, the transformation from f(x) to g(x) includes:

Reflection across y axis

Translate up by 3 units