Mathematics: Which of the following is 3 units lower than y = 4x2 – 8x + 2, but opens in the same direction and has the same shape?

Which of the following is 3 units lower than y

jordonlewis

11.03.2022

Simplify the function y=4x^2-8x+2 in the following way:

y=4x^2-8x+2=4x^2-8x+4-4+2=4(x^2-2x+1)-2=4(x-1)^2-2.

If you have to translate the graph of the function 3 units lower (down), then

y=4(x-1)^2-2-3=4(x-1)^2-5.

The graph of obtained function opens in the same direction as the graph of the function y=4(x-1)^2-2.

y=4(x-1)^2-5.

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Josephcastillo6403

24.12.2020

1/2

Step-by-step explanation:

m= y-intercept

(y=mx+b)

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