Question

What equation is generated if f(x) = x is moved to the left 5 units and then down 8 units?

f(x) = (x – 8) + 5

f(x) = (x – 8) – 5

f(x) = (x – 5) – 8

f(x) = (x + 5) – 8

Answer 1

Answer:

the answer is c

Step-by-step explanation:

i took the quiz and got it right

Answer 2

The equation thus generated is f(x) = (x + 5) - 8

Given: f(x) = x is moved left by 5 units

then moved down by 8 units

To find: New equation

Solution:

Original equation is f(x) = x

now, x is moved to the left by 5 units

From horizontal transformation of functions, we know that

Shifting the graph of y = f(x) by c units left gives us the equation y = f(x + c)

⇒ Shifting y = f(x) by 5 units left gives us y = f(x + 5)

But f(x) = x

⇒ f(x) = (x + 5)

Now,

f(x) = (x + 5) is moved down by 8 units

From vertical transformation of functions, we know that

Shifting the graph of y = f(x) by c units down gives us the equation y = f(x)-c

⇒ Shifting f(x) = (x + 5) by 8 units down gives us f(x) = (x + 5) - 8

∴ The new equation generated is f(x) = (x + 5) - 8. Answer

SPJ2