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Elan Coil [88]
3 years ago
9

If g(x)=4x^2-16 were shifted 5 units to the right and 2 down, what would the new equation be?

Mathematics
2 answers:
koban [17]3 years ago
6 0

Answer:

A. h(x)=4(x-5)^2-18

Step-by-step explanation:

We have been given an equation of a function g(x)=4x^2-16. We are asked to find the formula of the function our g(x) is shifted 5 units to the right and 2 units down.

Let us recall the transformation rules.

f(x)\rightarrow f(x-a)=\text{Graph shifted to the right by 'a' units}

f(x)\rightarrow f(x+a)=\text{Graph shifted to the left by 'a' units}

f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by 'a' units}

f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by 'a' units}  

Upon shifting our function to the right by 5 units our function would be:

g(x)=4(x-5)^2-16

Let us shift our given function downwards by 2 units.

g(x)=4(x-5)^2-16-2

g(x)=4(x-5)^2-18

Therefore, option A is the correct choice.

Eduardwww [97]3 years ago
4 0
Try this, pls:
When any line on graph is moved to the right, for 'x' must be '-'.
When one is moved down, for 'y' must be '-'.
Finaly: y=4(x-5)²-18.
Answer: A.
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