The function f(x) = x^2 - 2x + 8 is transformed such that g(x) = f(x-2). Find the vertex of g(x).

Mathematics

1 answer:

Serjik [45]3 years ago

7 0

Answer:

Step-by-step explanation:

Since g(x) is f(x-2), every time there is a "x" in the f(x) equation, substitute "x-2". So g(x) would be (x-2)^2-2(x-2)+8. Use the method of trial and error: substitute x as 1,-1, and 3, until you found the right vertex. The answer is B (3,7).

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I am assuming that the attached is the complete question and we need to get the information from the table.

From the table we know the below fact:

$1 \; small \; container \; of \; potato \; salad \; Weighs \; \frac{2}{8} \; pounds\\\\1 \; extra \; large \; container \; of \; potato \; salad \; Weighs \; \frac{9}{8} \; pounds$

$Weight \; of \; 6 \; small \; container = 6 \times \frac{2}{8} = \frac{12}{8} \; pounds\\\\Weight \; of \; 2 \; Extra \; large \; container = 2 \times \frac{9}{8} \; = \; \frac{18}{8} \; pounds$

Conclusion:

The difference in weights, in pounds of Kim’s and Seth’s purchases is given below:

$\frac{18}{8} - \frac{12}{8} = \frac{18-12}{8} = \frac{6}{8} \\\\Simplifying \; the \; fraction \; dividing \; by \; 2 \; on \; both \; numerator \; and \; denominator\\\\ \frac{6 \div 2}{8 \div 2} = \frac{3}{4}$