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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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tensa zangetsu [6.8K]
The equation given in the question has one unknown variable in the ofrm of "x" and there is also a single equation. So it can be definitely pointed out that the exact value of the unknown variable "x" can be easily determined. Now let us focus on the equation given in the question.
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